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Finding the Fourth Proportional to 508,532.72, 762,494.61 and 171,565.91

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Solution

The fourth proportional to 508,532.72, 762,494.61 and 171,565.91 is: 257,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,532.72 : 762,494.61 = 171,565.91 : x
  2. Step 2: Convert to fraction form
    508,532.72/762,494.61 = 171,565.91/x
  3. Step 3: Cross multiply
    508,532.72x = 762,494.61 × 171,565.91
  4. Step 4: Simplify right side
    508,532.72x = 130,818,085,614.03
  5. Step 5: Solve for x
    x = 130,818,085,614.03/508,532.72
  6. Step 6: Final answer
    x = 257,246.15

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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.