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Finding the Fourth Proportional to 487,905.20, 731,857.80 and 410,922.80

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Solution

The fourth proportional to 487,905.20, 731,857.80 and 410,922.80 is: 616,384.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,905.20 : 731,857.80 = 410,922.80 : x
  2. Step 2: Convert to fraction form
    487,905.20/731,857.80 = 410,922.80/x
  3. Step 3: Cross multiply
    487,905.20x = 731,857.80 × 410,922.80
  4. Step 4: Simplify right side
    487,905.20x = 300,737,056,377.84
  5. Step 5: Solve for x
    x = 300,737,056,377.84/487,905.20
  6. Step 6: Final answer
    x = 616,384.20

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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.