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Finding the Fourth Proportional to 416,253.60, 574,431.80 and 225,267.02

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Solution

The fourth proportional to 416,253.60, 574,431.80 and 225,267.02 is: 310,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,253.60 : 574,431.80 = 225,267.02 : x
  2. Step 2: Convert to fraction form
    416,253.60/574,431.80 = 225,267.02/x
  3. Step 3: Cross multiply
    416,253.60x = 574,431.80 × 225,267.02
  4. Step 4: Simplify right side
    416,253.60x = 129,400,535,780.74
  5. Step 5: Solve for x
    x = 129,400,535,780.74/416,253.60
  6. Step 6: Final answer
    x = 310,869.47

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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.