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Finding the Fourth Proportional to 514,694.94, 772,145.49 and 177,747.90

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Solution

The fourth proportional to 514,694.94, 772,145.49 and 177,747.90 is: 266,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,694.94 : 772,145.49 = 177,747.90 : x
  2. Step 2: Convert to fraction form
    514,694.94/772,145.49 = 177,747.90/x
  3. Step 3: Cross multiply
    514,694.94x = 772,145.49 × 177,747.90
  4. Step 4: Simplify right side
    514,694.94x = 137,247,239,341.97
  5. Step 5: Solve for x
    x = 137,247,239,341.97/514,694.94
  6. Step 6: Final answer
    x = 266,657.45

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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.