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Finding the Fourth Proportional to 305,494.17, 457,699.10 and 127,609.71

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Solution

The fourth proportional to 305,494.17, 457,699.10 and 127,609.71 is: 191,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,494.17 : 457,699.10 = 127,609.71 : x
  2. Step 2: Convert to fraction form
    305,494.17/457,699.10 = 127,609.71/x
  3. Step 3: Cross multiply
    305,494.17x = 457,699.10 × 127,609.71
  4. Step 4: Simplify right side
    305,494.17x = 58,406,848,780.21
  5. Step 5: Solve for x
    x = 58,406,848,780.21/305,494.17
  6. Step 6: Final answer
    x = 191,188.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.