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Finding the Fourth Proportional to 514,494.62, 771,828.72 and 177,445.11

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Solution

The fourth proportional to 514,494.62, 771,828.72 and 177,445.11 is: 266,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,494.62 : 771,828.72 = 177,445.11 : x
  2. Step 2: Convert to fraction form
    514,494.62/771,828.72 = 177,445.11/x
  3. Step 3: Cross multiply
    514,494.62x = 771,828.72 × 177,445.11
  4. Step 4: Simplify right side
    514,494.62x = 136,957,232,121.56
  5. Step 5: Solve for x
    x = 136,957,232,121.56/514,494.62
  6. Step 6: Final answer
    x = 266,197.60

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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.