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Finding the Fourth Proportional to 523,285.18, 722,141.10 and 293,892.10

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Solution

The fourth proportional to 523,285.18, 722,141.10 and 293,892.10 is: 405,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,285.18 : 722,141.10 = 293,892.10 : x
  2. Step 2: Convert to fraction form
    523,285.18/722,141.10 = 293,892.10/x
  3. Step 3: Cross multiply
    523,285.18x = 722,141.10 × 293,892.10
  4. Step 4: Simplify right side
    523,285.18x = 212,231,564,375.31
  5. Step 5: Solve for x
    x = 212,231,564,375.31/523,285.18
  6. Step 6: Final answer
    x = 405,575.34

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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.