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Finding the Fourth Proportional to 416,429.92, 574,673.48 and 225,443.31

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Solution

The fourth proportional to 416,429.92, 574,673.48 and 225,443.31 is: 311,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,429.92 : 574,673.48 = 225,443.31 : x
  2. Step 2: Convert to fraction form
    416,429.92/574,673.48 = 225,443.31/x
  3. Step 3: Cross multiply
    416,429.92x = 574,673.48 × 225,443.31
  4. Step 4: Simplify right side
    416,429.92x = 129,556,291,500.42
  5. Step 5: Solve for x
    x = 129,556,291,500.42/416,429.92
  6. Step 6: Final answer
    x = 311,111.87

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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.