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Finding the Fourth Proportional to 416,285.62, 574,475.85 and 225,298.96

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Solution

The fourth proportional to 416,285.62, 574,475.85 and 225,298.96 is: 310,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,285.62 : 574,475.85 = 225,298.96 : x
  2. Step 2: Convert to fraction form
    416,285.62/574,475.85 = 225,298.96/x
  3. Step 3: Cross multiply
    416,285.62x = 574,475.85 × 225,298.96
  4. Step 4: Simplify right side
    416,285.62x = 129,428,810,113.93
  5. Step 5: Solve for x
    x = 129,428,810,113.93/416,285.62
  6. Step 6: Final answer
    x = 310,913.48

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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.