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Finding the Fourth Proportional to 416,570.70, 574,869.40 and 225,584.30

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Solution

The fourth proportional to 416,570.70, 574,869.40 and 225,584.30 is: 311,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,570.70 : 574,869.40 = 225,584.30 : x
  2. Step 2: Convert to fraction form
    416,570.70/574,869.40 = 225,584.30/x
  3. Step 3: Cross multiply
    416,570.70x = 574,869.40 × 225,584.30
  4. Step 4: Simplify right side
    416,570.70x = 129,681,511,190.42
  5. Step 5: Solve for x
    x = 129,681,511,190.42/416,570.70
  6. Step 6: Final answer
    x = 311,307.33

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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.