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Finding the Fourth Proportional to 416,203.96, 574,362.98 and 225,217.35

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Solution

The fourth proportional to 416,203.96, 574,362.98 and 225,217.35 is: 310,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,203.96 : 574,362.98 = 225,217.35 : x
  2. Step 2: Convert to fraction form
    416,203.96/574,362.98 = 225,217.35/x
  3. Step 3: Cross multiply
    416,203.96x = 574,362.98 × 225,217.35
  4. Step 4: Simplify right side
    416,203.96x = 129,356,508,293.70
  5. Step 5: Solve for x
    x = 129,356,508,293.70/416,203.96
  6. Step 6: Final answer
    x = 310,800.76

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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.