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Finding the Fourth Proportional to 532,302.40, 797,287.20 and 282,692.80

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Solution

The fourth proportional to 532,302.40, 797,287.20 and 282,692.80 is: 423,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,302.40 : 797,287.20 = 282,692.80 : x
  2. Step 2: Convert to fraction form
    532,302.40/797,287.20 = 282,692.80/x
  3. Step 3: Cross multiply
    532,302.40x = 797,287.20 × 282,692.80
  4. Step 4: Simplify right side
    532,302.40x = 225,387,350,972.16
  5. Step 5: Solve for x
    x = 225,387,350,972.16/532,302.40
  6. Step 6: Final answer
    x = 423,419.75

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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.