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Finding the Fourth Proportional to 317,545.92, 476,322.72 and 137,590.08

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Solution

The fourth proportional to 317,545.92, 476,322.72 and 137,590.08 is: 206,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,545.92 : 476,322.72 = 137,590.08 : x
  2. Step 2: Convert to fraction form
    317,545.92/476,322.72 = 137,590.08/x
  3. Step 3: Cross multiply
    317,545.92x = 476,322.72 × 137,590.08
  4. Step 4: Simplify right side
    317,545.92x = 65,537,281,150.62
  5. Step 5: Solve for x
    x = 65,537,281,150.62/317,545.92
  6. Step 6: Final answer
    x = 206,386.78

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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.