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Finding the Fourth Proportional to 482,943, 724,454.46 and 150,519

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Solution

The fourth proportional to 482,943, 724,454.46 and 150,519 is: 225,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,943 : 724,454.46 = 150,519 : x
  2. Step 2: Convert to fraction form
    482,943/724,454.46 = 150,519/x
  3. Step 3: Cross multiply
    482,943x = 724,454.46 × 150,519
  4. Step 4: Simplify right side
    482,943x = 109,044,160,864.74
  5. Step 5: Solve for x
    x = 109,044,160,864.74/482,943
  6. Step 6: Final answer
    x = 225,790.95

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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.