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Finding the Fourth Proportional to 317,151.92, 476,133.85 and 272,459.21

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Solution

The fourth proportional to 317,151.92, 476,133.85 and 272,459.21 is: 409,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,151.92 : 476,133.85 = 272,459.21 : x
  2. Step 2: Convert to fraction form
    317,151.92/476,133.85 = 272,459.21/x
  3. Step 3: Cross multiply
    317,151.92x = 476,133.85 × 272,459.21
  4. Step 4: Simplify right side
    317,151.92x = 129,727,050,072.63
  5. Step 5: Solve for x
    x = 129,727,050,072.63/317,151.92
  6. Step 6: Final answer
    x = 409,037.57

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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.