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Finding the Fourth Proportional to 514,058.85, 771,121.08 and 159,043.14

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Solution

The fourth proportional to 514,058.85, 771,121.08 and 159,043.14 is: 238,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,058.85 : 771,121.08 = 159,043.14 : x
  2. Step 2: Convert to fraction form
    514,058.85/771,121.08 = 159,043.14/x
  3. Step 3: Cross multiply
    514,058.85x = 771,121.08 × 159,043.14
  4. Step 4: Simplify right side
    514,058.85x = 122,641,517,883.39
  5. Step 5: Solve for x
    x = 122,641,517,883.39/514,058.85
  6. Step 6: Final answer
    x = 238,574.86

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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.