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Finding the Fourth Proportional to 514,002.80, 771,043.20 and 159,052.70

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Solution

The fourth proportional to 514,002.80, 771,043.20 and 159,052.70 is: 238,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,002.80 : 771,043.20 = 159,052.70 : x
  2. Step 2: Convert to fraction form
    514,002.80/771,043.20 = 159,052.70/x
  3. Step 3: Cross multiply
    514,002.80x = 771,043.20 × 159,052.70
  4. Step 4: Simplify right side
    514,002.80x = 122,636,502,776.64
  5. Step 5: Solve for x
    x = 122,636,502,776.64/514,002.80
  6. Step 6: Final answer
    x = 238,591.12

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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.