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Finding the Fourth Proportional to 517,460.74, 776,136.49 and 138,419.72

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Solution

The fourth proportional to 517,460.74, 776,136.49 and 138,419.72 is: 207,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,460.74 : 776,136.49 = 138,419.72 : x
  2. Step 2: Convert to fraction form
    517,460.74/776,136.49 = 138,419.72/x
  3. Step 3: Cross multiply
    517,460.74x = 776,136.49 × 138,419.72
  4. Step 4: Simplify right side
    517,460.74x = 107,432,595,627.58
  5. Step 5: Solve for x
    x = 107,432,595,627.58/517,460.74
  6. Step 6: Final answer
    x = 207,614.97

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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.