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Finding the Fourth Proportional to 510,944.36, 705,103.44 and 296,208.92

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Solution

The fourth proportional to 510,944.36, 705,103.44 and 296,208.92 is: 408,768.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,944.36 : 705,103.44 = 296,208.92 : x
  2. Step 2: Convert to fraction form
    510,944.36/705,103.44 = 296,208.92/x
  3. Step 3: Cross multiply
    510,944.36x = 705,103.44 × 296,208.92
  4. Step 4: Simplify right side
    510,944.36x = 208,857,928,450.69
  5. Step 5: Solve for x
    x = 208,857,928,450.69/510,944.36
  6. Step 6: Final answer
    x = 408,768.44

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.