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Finding the Fourth Proportional to 416,064.30, 574,166.79 and 225,076.02

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Solution

The fourth proportional to 416,064.30, 574,166.79 and 225,076.02 is: 310,603.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,064.30 : 574,166.79 = 225,076.02 : x
  2. Step 2: Convert to fraction form
    416,064.30/574,166.79 = 225,076.02/x
  3. Step 3: Cross multiply
    416,064.30x = 574,166.79 × 225,076.02
  4. Step 4: Simplify right side
    416,064.30x = 129,231,175,909.38
  5. Step 5: Solve for x
    x = 129,231,175,909.38/416,064.30
  6. Step 6: Final answer
    x = 310,603.86

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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.