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Finding the Fourth Proportional to 514,948.01, 772,232.40 and 177,902.15

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Solution

The fourth proportional to 514,948.01, 772,232.40 and 177,902.15 is: 266,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,948.01 : 772,232.40 = 177,902.15 : x
  2. Step 2: Convert to fraction form
    514,948.01/772,232.40 = 177,902.15/x
  3. Step 3: Cross multiply
    514,948.01x = 772,232.40 × 177,902.15
  4. Step 4: Simplify right side
    514,948.01x = 137,381,800,398.50
  5. Step 5: Solve for x
    x = 137,381,800,398.50/514,948.01
  6. Step 6: Final answer
    x = 266,787.71

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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.