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Finding the Fourth Proportional to 317,076.68, 475,365 and 157,207.52

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Solution

The fourth proportional to 317,076.68, 475,365 and 157,207.52 is: 235,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,076.68 : 475,365 = 157,207.52 : x
  2. Step 2: Convert to fraction form
    317,076.68/475,365 = 157,207.52/x
  3. Step 3: Cross multiply
    317,076.68x = 475,365 × 157,207.52
  4. Step 4: Simplify right side
    317,076.68x = 74,730,952,744.80
  5. Step 5: Solve for x
    x = 74,730,952,744.80/317,076.68
  6. Step 6: Final answer
    x = 235,687.32

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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.