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Finding the Fourth Proportional to 514,600.92, 771,953.76 and 177,597.72

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Solution

The fourth proportional to 514,600.92, 771,953.76 and 177,597.72 is: 266,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,600.92 : 771,953.76 = 177,597.72 : x
  2. Step 2: Convert to fraction form
    514,600.92/771,953.76 = 177,597.72/x
  3. Step 3: Cross multiply
    514,600.92x = 771,953.76 × 177,597.72
  4. Step 4: Simplify right side
    514,600.92x = 137,097,227,721.43
  5. Step 5: Solve for x
    x = 137,097,227,721.43/514,600.92
  6. Step 6: Final answer
    x = 266,414.66

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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.