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Finding the Fourth Proportional to 317,312.80, 475,580.40 and 139,631.20

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Solution

The fourth proportional to 317,312.80, 475,580.40 and 139,631.20 is: 209,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,312.80 : 475,580.40 = 139,631.20 : x
  2. Step 2: Convert to fraction form
    317,312.80/475,580.40 = 139,631.20/x
  3. Step 3: Cross multiply
    317,312.80x = 475,580.40 × 139,631.20
  4. Step 4: Simplify right side
    317,312.80x = 66,405,861,948.48
  5. Step 5: Solve for x
    x = 66,405,861,948.48/317,312.80
  6. Step 6: Final answer
    x = 209,275.71

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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.