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Finding the Fourth Proportional to 416,581.66, 574,881.82 and 225,594.46

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Solution

The fourth proportional to 416,581.66, 574,881.82 and 225,594.46 is: 311,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,581.66 : 574,881.82 = 225,594.46 : x
  2. Step 2: Convert to fraction form
    416,581.66/574,881.82 = 225,594.46/x
  3. Step 3: Cross multiply
    416,581.66x = 574,881.82 × 225,594.46
  4. Step 4: Simplify right side
    416,581.66x = 129,690,153,746.72
  5. Step 5: Solve for x
    x = 129,690,153,746.72/416,581.66
  6. Step 6: Final answer
    x = 311,319.88

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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.