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Finding the Fourth Proportional to 514,454.35, 771,721.45 and 154,597.11

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Solution

The fourth proportional to 514,454.35, 771,721.45 and 154,597.11 is: 231,907.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,454.35 : 771,721.45 = 154,597.11 : x
  2. Step 2: Convert to fraction form
    514,454.35/771,721.45 = 154,597.11/x
  3. Step 3: Cross multiply
    514,454.35x = 771,721.45 × 154,597.11
  4. Step 4: Simplify right side
    514,454.35x = 119,305,905,508.52
  5. Step 5: Solve for x
    x = 119,305,905,508.52/514,454.35
  6. Step 6: Final answer
    x = 231,907.66

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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.