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Finding the Fourth Proportional to 410,062.44, 615,184 and 125,792.16

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Solution

The fourth proportional to 410,062.44, 615,184 and 125,792.16 is: 188,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,062.44 : 615,184 = 125,792.16 : x
  2. Step 2: Convert to fraction form
    410,062.44/615,184 = 125,792.16/x
  3. Step 3: Cross multiply
    410,062.44x = 615,184 × 125,792.16
  4. Step 4: Simplify right side
    410,062.44x = 77,385,324,157.44
  5. Step 5: Solve for x
    x = 77,385,324,157.44/410,062.44
  6. Step 6: Final answer
    x = 188,715.95

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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.