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Finding the Fourth Proportional to 416,898, 625,381.56 and 121,410

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Solution

The fourth proportional to 416,898, 625,381.56 and 121,410 is: 182,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,898 : 625,381.56 = 121,410 : x
  2. Step 2: Convert to fraction form
    416,898/625,381.56 = 121,410/x
  3. Step 3: Cross multiply
    416,898x = 625,381.56 × 121,410
  4. Step 4: Simplify right side
    416,898x = 75,927,575,199.60
  5. Step 5: Solve for x
    x = 75,927,575,199.60/416,898
  6. Step 6: Final answer
    x = 182,125.06

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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.