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Finding the Fourth Proportional to 416,281.64, 574,468.64 and 225,295.02

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Solution

The fourth proportional to 416,281.64, 574,468.64 and 225,295.02 is: 310,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,281.64 : 574,468.64 = 225,295.02 : x
  2. Step 2: Convert to fraction form
    416,281.64/574,468.64 = 225,295.02/x
  3. Step 3: Cross multiply
    416,281.64x = 574,468.64 × 225,295.02
  4. Step 4: Simplify right side
    416,281.64x = 129,424,923,738.17
  5. Step 5: Solve for x
    x = 129,424,923,738.17/416,281.64
  6. Step 6: Final answer
    x = 310,907.12

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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.