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Finding the Fourth Proportional to 416,263.69, 574,443.88 and 225,277.09

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Solution

The fourth proportional to 416,263.69, 574,443.88 and 225,277.09 is: 310,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,263.69 : 574,443.88 = 225,277.09 : x
  2. Step 2: Convert to fraction form
    416,263.69/574,443.88 = 225,277.09/x
  3. Step 3: Cross multiply
    416,263.69x = 574,443.88 × 225,277.09
  4. Step 4: Simplify right side
    416,263.69x = 129,409,045,654.71
  5. Step 5: Solve for x
    x = 129,409,045,654.71/416,263.69
  6. Step 6: Final answer
    x = 310,882.38

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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.