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Finding the Fourth Proportional to 462,552.16, 693,874.64 and 125,597.92

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Solution

The fourth proportional to 462,552.16, 693,874.64 and 125,597.92 is: 188,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,552.16 : 693,874.64 = 125,597.92 : x
  2. Step 2: Convert to fraction form
    462,552.16/693,874.64 = 125,597.92/x
  3. Step 3: Cross multiply
    462,552.16x = 693,874.64 × 125,597.92
  4. Step 4: Simplify right side
    462,552.16x = 87,149,211,524.75
  5. Step 5: Solve for x
    x = 87,149,211,524.75/462,552.16
  6. Step 6: Final answer
    x = 188,409.48

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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.