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Finding the Fourth Proportional to 532,462.16, 798,844.92 and 177,708.56

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Solution

The fourth proportional to 532,462.16, 798,844.92 and 177,708.56 is: 266,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,462.16 : 798,844.92 = 177,708.56 : x
  2. Step 2: Convert to fraction form
    532,462.16/798,844.92 = 177,708.56/x
  3. Step 3: Cross multiply
    532,462.16x = 798,844.92 × 177,708.56
  4. Step 4: Simplify right side
    532,462.16x = 141,961,580,396.52
  5. Step 5: Solve for x
    x = 141,961,580,396.52/532,462.16
  6. Step 6: Final answer
    x = 266,613.46

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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.