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Finding the Fourth Proportional to 416,561.22, 574,856.24 and 225,574.76

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Solution

The fourth proportional to 416,561.22, 574,856.24 and 225,574.76 is: 311,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,561.22 : 574,856.24 = 225,574.76 : x
  2. Step 2: Convert to fraction form
    416,561.22/574,856.24 = 225,574.76/x
  3. Step 3: Cross multiply
    416,561.22x = 574,856.24 × 225,574.76
  4. Step 4: Simplify right side
    416,561.22x = 129,673,054,370.35
  5. Step 5: Solve for x
    x = 129,673,054,370.35/416,561.22
  6. Step 6: Final answer
    x = 311,294.11

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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.