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Finding the Fourth Proportional to 698,713.90, 964,327.08 and 392,815.51

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Solution

The fourth proportional to 698,713.90, 964,327.08 and 392,815.51 is: 542,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,713.90 : 964,327.08 = 392,815.51 : x
  2. Step 2: Convert to fraction form
    698,713.90/964,327.08 = 392,815.51/x
  3. Step 3: Cross multiply
    698,713.90x = 964,327.08 × 392,815.51
  4. Step 4: Simplify right side
    698,713.90x = 378,802,633,737.01
  5. Step 5: Solve for x
    x = 378,802,633,737.01/698,713.90
  6. Step 6: Final answer
    x = 542,142.69

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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.