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Finding the Fourth Proportional to 487,410.30, 731,006.10 and 320,104.80

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Solution

The fourth proportional to 487,410.30, 731,006.10 and 320,104.80 is: 480,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,410.30 : 731,006.10 = 320,104.80 : x
  2. Step 2: Convert to fraction form
    487,410.30/731,006.10 = 320,104.80/x
  3. Step 3: Cross multiply
    487,410.30x = 731,006.10 × 320,104.80
  4. Step 4: Simplify right side
    487,410.30x = 233,998,561,439.28
  5. Step 5: Solve for x
    x = 233,998,561,439.28/487,410.30
  6. Step 6: Final answer
    x = 480,085.38

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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.