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Finding the Fourth Proportional to 364,314.24, 546,472.71 and 111,593.70

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Solution

The fourth proportional to 364,314.24, 546,472.71 and 111,593.70 is: 167,390.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,314.24 : 546,472.71 = 111,593.70 : x
  2. Step 2: Convert to fraction form
    364,314.24/546,472.71 = 111,593.70/x
  3. Step 3: Cross multiply
    364,314.24x = 546,472.71 × 111,593.70
  4. Step 4: Simplify right side
    364,314.24x = 60,982,911,657.93
  5. Step 5: Solve for x
    x = 60,982,911,657.93/364,314.24
  6. Step 6: Final answer
    x = 167,390.96

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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.