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Finding the Fourth Proportional to 416,156.61, 574,297.59 and 225,169.98

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Solution

The fourth proportional to 416,156.61, 574,297.59 and 225,169.98 is: 310,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,156.61 : 574,297.59 = 225,169.98 : x
  2. Step 2: Convert to fraction form
    416,156.61/574,297.59 = 225,169.98/x
  3. Step 3: Cross multiply
    416,156.61x = 574,297.59 × 225,169.98
  4. Step 4: Simplify right side
    416,156.61x = 129,314,576,854.35
  5. Step 5: Solve for x
    x = 129,314,576,854.35/416,156.61
  6. Step 6: Final answer
    x = 310,735.37

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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.