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Finding the Fourth Proportional to 416,252.67, 574,428.69 and 225,267.45

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Solution

The fourth proportional to 416,252.67, 574,428.69 and 225,267.45 is: 310,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,252.67 : 574,428.69 = 225,267.45 : x
  2. Step 2: Convert to fraction form
    416,252.67/574,428.69 = 225,267.45/x
  3. Step 3: Cross multiply
    416,252.67x = 574,428.69 × 225,267.45
  4. Step 4: Simplify right side
    416,252.67x = 129,400,086,203.14
  5. Step 5: Solve for x
    x = 129,400,086,203.14/416,252.67
  6. Step 6: Final answer
    x = 310,869.08

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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.