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Finding the Fourth Proportional to 416,257.52, 574,437.02 and 225,270.86

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Solution

The fourth proportional to 416,257.52, 574,437.02 and 225,270.86 is: 310,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,257.52 : 574,437.02 = 225,270.86 : x
  2. Step 2: Convert to fraction form
    416,257.52/574,437.02 = 225,270.86/x
  3. Step 3: Cross multiply
    416,257.52x = 574,437.02 × 225,270.86
  4. Step 4: Simplify right side
    416,257.52x = 129,403,917,512.70
  5. Step 5: Solve for x
    x = 129,403,917,512.70/416,257.52
  6. Step 6: Final answer
    x = 310,874.67

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1.5x scale

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.