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Finding the Fourth Proportional to 416,242.47, 574,416.36 and 225,255.86

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Solution

The fourth proportional to 416,242.47, 574,416.36 and 225,255.86 is: 310,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,242.47 : 574,416.36 = 225,255.86 : x
  2. Step 2: Convert to fraction form
    416,242.47/574,416.36 = 225,255.86/x
  3. Step 3: Cross multiply
    416,242.47x = 574,416.36 × 225,255.86
  4. Step 4: Simplify right side
    416,242.47x = 129,390,648,297.79
  5. Step 5: Solve for x
    x = 129,390,648,297.79/416,242.47
  6. Step 6: Final answer
    x = 310,854.03

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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.