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Finding the Fourth Proportional to 514,549.40, 771,898.82 and 159,592.01

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Solution

The fourth proportional to 514,549.40, 771,898.82 and 159,592.01 is: 239,411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,549.40 : 771,898.82 = 159,592.01 : x
  2. Step 2: Convert to fraction form
    514,549.40/771,898.82 = 159,592.01/x
  3. Step 3: Cross multiply
    514,549.40x = 771,898.82 × 159,592.01
  4. Step 4: Simplify right side
    514,549.40x = 123,188,879,542.97
  5. Step 5: Solve for x
    x = 123,188,879,542.97/514,549.40
  6. Step 6: Final answer
    x = 239,411.18

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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.