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Finding the Fourth Proportional to 416,740.32, 625,058.64 and 136,234.08

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Solution

The fourth proportional to 416,740.32, 625,058.64 and 136,234.08 is: 204,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,740.32 : 625,058.64 = 136,234.08 : x
  2. Step 2: Convert to fraction form
    416,740.32/625,058.64 = 136,234.08/x
  3. Step 3: Cross multiply
    416,740.32x = 625,058.64 × 136,234.08
  4. Step 4: Simplify right side
    416,740.32x = 85,154,288,766.45
  5. Step 5: Solve for x
    x = 85,154,288,766.45/416,740.32
  6. Step 6: Final answer
    x = 204,334.17

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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.