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Finding the Fourth Proportional to 695,787.82, 960,772.38 and 523,407

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Solution

The fourth proportional to 695,787.82, 960,772.38 and 523,407 is: 722,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,787.82 : 960,772.38 = 523,407 : x
  2. Step 2: Convert to fraction form
    695,787.82/960,772.38 = 523,407/x
  3. Step 3: Cross multiply
    695,787.82x = 960,772.38 × 523,407
  4. Step 4: Simplify right side
    695,787.82x = 502,874,989,098.66
  5. Step 5: Solve for x
    x = 502,874,989,098.66/695,787.82
  6. Step 6: Final answer
    x = 722,741.87

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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.