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Finding the Fourth Proportional to 584,294.92, 874,136.34 and 442,548.52

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Solution

The fourth proportional to 584,294.92, 874,136.34 and 442,548.52 is: 662,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,294.92 : 874,136.34 = 442,548.52 : x
  2. Step 2: Convert to fraction form
    584,294.92/874,136.34 = 442,548.52/x
  3. Step 3: Cross multiply
    584,294.92x = 874,136.34 × 442,548.52
  4. Step 4: Simplify right side
    584,294.92x = 386,847,743,545.22
  5. Step 5: Solve for x
    x = 386,847,743,545.22/584,294.92
  6. Step 6: Final answer
    x = 662,076.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.