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Finding the Fourth Proportional to 589,505.25, 813,478.97 and 347,732.40

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Solution

The fourth proportional to 589,505.25, 813,478.97 and 347,732.40 is: 479,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,505.25 : 813,478.97 = 347,732.40 : x
  2. Step 2: Convert to fraction form
    589,505.25/813,478.97 = 347,732.40/x
  3. Step 3: Cross multiply
    589,505.25x = 813,478.97 × 347,732.40
  4. Step 4: Simplify right side
    589,505.25x = 282,872,995,456.96
  5. Step 5: Solve for x
    x = 282,872,995,456.96/589,505.25
  6. Step 6: Final answer
    x = 479,848.14

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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.