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Finding the Fourth Proportional to 510,302.13, 704,171.19 and 295,456.74

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Solution

The fourth proportional to 510,302.13, 704,171.19 and 295,456.74 is: 407,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,302.13 : 704,171.19 = 295,456.74 : x
  2. Step 2: Convert to fraction form
    510,302.13/704,171.19 = 295,456.74/x
  3. Step 3: Cross multiply
    510,302.13x = 704,171.19 × 295,456.74
  4. Step 4: Simplify right side
    510,302.13x = 208,052,124,199.32
  5. Step 5: Solve for x
    x = 208,052,124,199.32/510,302.13
  6. Step 6: Final answer
    x = 407,703.81

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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.