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Finding the Fourth Proportional to 416,716.35, 575,068.67 and 225,729.78

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Solution

The fourth proportional to 416,716.35, 575,068.67 and 225,729.78 is: 311,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,716.35 : 575,068.67 = 225,729.78 : x
  2. Step 2: Convert to fraction form
    416,716.35/575,068.67 = 225,729.78/x
  3. Step 3: Cross multiply
    416,716.35x = 575,068.67 × 225,729.78
  4. Step 4: Simplify right side
    416,716.35x = 129,810,124,363.99
  5. Step 5: Solve for x
    x = 129,810,124,363.99/416,716.35
  6. Step 6: Final answer
    x = 311,507.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.