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Finding the Fourth Proportional to 416,246.13, 574,421.13 and 225,259.47

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Solution

The fourth proportional to 416,246.13, 574,421.13 and 225,259.47 is: 310,858.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,246.13 : 574,421.13 = 225,259.47 : x
  2. Step 2: Convert to fraction form
    416,246.13/574,421.13 = 225,259.47/x
  3. Step 3: Cross multiply
    416,246.13x = 574,421.13 × 225,259.47
  4. Step 4: Simplify right side
    416,246.13x = 129,393,799,300.60
  5. Step 5: Solve for x
    x = 129,393,799,300.60/416,246.13
  6. Step 6: Final answer
    x = 310,858.86

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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.