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Finding the Fourth Proportional to 416,911, 625,359.88 and 132,597.45

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Solution

The fourth proportional to 416,911, 625,359.88 and 132,597.45 is: 198,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,911 : 625,359.88 = 132,597.45 : x
  2. Step 2: Convert to fraction form
    416,911/625,359.88 = 132,597.45/x
  3. Step 3: Cross multiply
    416,911x = 625,359.88 × 132,597.45
  4. Step 4: Simplify right side
    416,911x = 82,921,125,420.31
  5. Step 5: Solve for x
    x = 82,921,125,420.31/416,911
  6. Step 6: Final answer
    x = 198,894.07

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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.