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Finding the Fourth Proportional to 723,904.52, 998,165.14 and 461,907.38

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Solution

The fourth proportional to 723,904.52, 998,165.14 and 461,907.38 is: 636,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,904.52 : 998,165.14 = 461,907.38 : x
  2. Step 2: Convert to fraction form
    723,904.52/998,165.14 = 461,907.38/x
  3. Step 3: Cross multiply
    723,904.52x = 998,165.14 × 461,907.38
  4. Step 4: Simplify right side
    723,904.52x = 461,059,845,965.38
  5. Step 5: Solve for x
    x = 461,059,845,965.38/723,904.52
  6. Step 6: Final answer
    x = 636,906.99

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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.