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Finding the Fourth Proportional to 653,942.52, 902,411.64 and 382,035.60

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Solution

The fourth proportional to 653,942.52, 902,411.64 and 382,035.60 is: 527,192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,942.52 : 902,411.64 = 382,035.60 : x
  2. Step 2: Convert to fraction form
    653,942.52/902,411.64 = 382,035.60/x
  3. Step 3: Cross multiply
    653,942.52x = 902,411.64 × 382,035.60
  4. Step 4: Simplify right side
    653,942.52x = 344,753,372,334.38
  5. Step 5: Solve for x
    x = 344,753,372,334.38/653,942.52
  6. Step 6: Final answer
    x = 527,192.16

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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.