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Finding the Fourth Proportional to 472,720.32, 652,358.21 and 257,861.34

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Solution

The fourth proportional to 472,720.32, 652,358.21 and 257,861.34 is: 355,850.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,720.32 : 652,358.21 = 257,861.34 : x
  2. Step 2: Convert to fraction form
    472,720.32/652,358.21 = 257,861.34/x
  3. Step 3: Cross multiply
    472,720.32x = 652,358.21 × 257,861.34
  4. Step 4: Simplify right side
    472,720.32x = 168,217,960,901.30
  5. Step 5: Solve for x
    x = 168,217,960,901.30/472,720.32
  6. Step 6: Final answer
    x = 355,850.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.