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Finding the Fourth Proportional to 482,977.80, 724,463.10 and 146,017.80

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Solution

The fourth proportional to 482,977.80, 724,463.10 and 146,017.80 is: 219,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,977.80 : 724,463.10 = 146,017.80 : x
  2. Step 2: Convert to fraction form
    482,977.80/724,463.10 = 146,017.80/x
  3. Step 3: Cross multiply
    482,977.80x = 724,463.10 × 146,017.80
  4. Step 4: Simplify right side
    482,977.80x = 105,784,508,043.18
  5. Step 5: Solve for x
    x = 105,784,508,043.18/482,977.80
  6. Step 6: Final answer
    x = 219,025.61

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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.