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Finding the Fourth Proportional to 416,944.32, 625,411.86 and 101,401.53

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Solution

The fourth proportional to 416,944.32, 625,411.86 and 101,401.53 is: 152,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,944.32 : 625,411.86 = 101,401.53 : x
  2. Step 2: Convert to fraction form
    416,944.32/625,411.86 = 101,401.53/x
  3. Step 3: Cross multiply
    416,944.32x = 625,411.86 × 101,401.53
  4. Step 4: Simplify right side
    416,944.32x = 63,417,719,484.15
  5. Step 5: Solve for x
    x = 63,417,719,484.15/416,944.32
  6. Step 6: Final answer
    x = 152,101.17

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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.