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Finding the Fourth Proportional to 282,694.40, 424,041.60 and 72,348.80

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Solution

The fourth proportional to 282,694.40, 424,041.60 and 72,348.80 is: 108,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,694.40 : 424,041.60 = 72,348.80 : x
  2. Step 2: Convert to fraction form
    282,694.40/424,041.60 = 72,348.80/x
  3. Step 3: Cross multiply
    282,694.40x = 424,041.60 × 72,348.80
  4. Step 4: Simplify right side
    282,694.40x = 30,678,900,910.08
  5. Step 5: Solve for x
    x = 30,678,900,910.08/282,694.40
  6. Step 6: Final answer
    x = 108,523.20

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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.