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Finding the Fourth Proportional to 317,045.31, 475,317.83 and 157,176.29

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Solution

The fourth proportional to 317,045.31, 475,317.83 and 157,176.29 is: 235,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,045.31 : 475,317.83 = 157,176.29 : x
  2. Step 2: Convert to fraction form
    317,045.31/475,317.83 = 157,176.29/x
  3. Step 3: Cross multiply
    317,045.31x = 475,317.83 × 157,176.29
  4. Step 4: Simplify right side
    317,045.31x = 74,708,689,927.78
  5. Step 5: Solve for x
    x = 74,708,689,927.78/317,045.31
  6. Step 6: Final answer
    x = 235,640.42

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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.