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Finding the Fourth Proportional to 416,284.50, 574,472.92 and 225,298.04

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Solution

The fourth proportional to 416,284.50, 574,472.92 and 225,298.04 is: 310,911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,284.50 : 574,472.92 = 225,298.04 : x
  2. Step 2: Convert to fraction form
    416,284.50/574,472.92 = 225,298.04/x
  3. Step 3: Cross multiply
    416,284.50x = 574,472.92 × 225,298.04
  4. Step 4: Simplify right side
    416,284.50x = 129,427,622,909.08
  5. Step 5: Solve for x
    x = 129,427,622,909.08/416,284.50
  6. Step 6: Final answer
    x = 310,911.46

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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.