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Finding the Fourth Proportional to 517,651.24, 776,663.68 and 180,741.52

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Solution

The fourth proportional to 517,651.24, 776,663.68 and 180,741.52 is: 271,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,651.24 : 776,663.68 = 180,741.52 : x
  2. Step 2: Convert to fraction form
    517,651.24/776,663.68 = 180,741.52/x
  3. Step 3: Cross multiply
    517,651.24x = 776,663.68 × 180,741.52
  4. Step 4: Simplify right side
    517,651.24x = 140,375,374,051.99
  5. Step 5: Solve for x
    x = 140,375,374,051.99/517,651.24
  6. Step 6: Final answer
    x = 271,177.51

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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.