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Finding the Fourth Proportional to 416,486.61, 574,751.57 and 225,499.95

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Solution

The fourth proportional to 416,486.61, 574,751.57 and 225,499.95 is: 311,189.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,486.61 : 574,751.57 = 225,499.95 : x
  2. Step 2: Convert to fraction form
    416,486.61/574,751.57 = 225,499.95/x
  3. Step 3: Cross multiply
    416,486.61x = 574,751.57 × 225,499.95
  4. Step 4: Simplify right side
    416,486.61x = 129,606,449,169.92
  5. Step 5: Solve for x
    x = 129,606,449,169.92/416,486.61
  6. Step 6: Final answer
    x = 311,189.95

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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.