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Finding the Fourth Proportional to 471,649.65, 650,855.05 and 256,789.24

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Solution

The fourth proportional to 471,649.65, 650,855.05 and 256,789.24 is: 354,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,649.65 : 650,855.05 = 256,789.24 : x
  2. Step 2: Convert to fraction form
    471,649.65/650,855.05 = 256,789.24/x
  3. Step 3: Cross multiply
    471,649.65x = 650,855.05 × 256,789.24
  4. Step 4: Simplify right side
    471,649.65x = 167,132,573,639.66
  5. Step 5: Solve for x
    x = 167,132,573,639.66/471,649.65
  6. Step 6: Final answer
    x = 354,357.46

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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.