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Finding the Fourth Proportional to 580,359.92, 800,493.72 and 472,930.16

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Solution

The fourth proportional to 580,359.92, 800,493.72 and 472,930.16 is: 652,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,359.92 : 800,493.72 = 472,930.16 : x
  2. Step 2: Convert to fraction form
    580,359.92/800,493.72 = 472,930.16/x
  3. Step 3: Cross multiply
    580,359.92x = 800,493.72 × 472,930.16
  4. Step 4: Simplify right side
    580,359.92x = 378,577,623,078.60
  5. Step 5: Solve for x
    x = 378,577,623,078.60/580,359.92
  6. Step 6: Final answer
    x = 652,315.24

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Why These Related Problems?

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