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Finding the Fourth Proportional to 514,773.36, 772,126.16 and 177,818.85

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Solution

The fourth proportional to 514,773.36, 772,126.16 and 177,818.85 is: 266,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,773.36 : 772,126.16 = 177,818.85 : x
  2. Step 2: Convert to fraction form
    514,773.36/772,126.16 = 177,818.85/x
  3. Step 3: Cross multiply
    514,773.36x = 772,126.16 × 177,818.85
  4. Step 4: Simplify right side
    514,773.36x = 137,298,584,937.02
  5. Step 5: Solve for x
    x = 137,298,584,937.02/514,773.36
  6. Step 6: Final answer
    x = 266,716.57

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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.