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Finding the Fourth Proportional to 514,454.83, 771,722.17 and 154,597.59

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Solution

The fourth proportional to 514,454.83, 771,722.17 and 154,597.59 is: 231,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,454.83 : 771,722.17 = 154,597.59 : x
  2. Step 2: Convert to fraction form
    514,454.83/771,722.17 = 154,597.59/x
  3. Step 3: Cross multiply
    514,454.83x = 771,722.17 × 154,597.59
  4. Step 4: Simplify right side
    514,454.83x = 119,306,387,631.57
  5. Step 5: Solve for x
    x = 119,306,387,631.57/514,454.83
  6. Step 6: Final answer
    x = 231,908.38

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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.