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Finding the Fourth Proportional to 416,242.53, 574,416.50 and 225,255.92

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Solution

The fourth proportional to 416,242.53, 574,416.50 and 225,255.92 is: 310,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,242.53 : 574,416.50 = 225,255.92 : x
  2. Step 2: Convert to fraction form
    416,242.53/574,416.50 = 225,255.92/x
  3. Step 3: Cross multiply
    416,242.53x = 574,416.50 × 225,255.92
  4. Step 4: Simplify right side
    416,242.53x = 129,390,713,172.32
  5. Step 5: Solve for x
    x = 129,390,713,172.32/416,242.53
  6. Step 6: Final answer
    x = 310,854.14

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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.