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Finding the Fourth Proportional to 471,712.26, 650,962.47 and 256,853.85

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Solution

The fourth proportional to 471,712.26, 650,962.47 and 256,853.85 is: 354,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,712.26 : 650,962.47 = 256,853.85 : x
  2. Step 2: Convert to fraction form
    471,712.26/650,962.47 = 256,853.85/x
  3. Step 3: Cross multiply
    471,712.26x = 650,962.47 × 256,853.85
  4. Step 4: Simplify right side
    471,712.26x = 167,202,216,625.01
  5. Step 5: Solve for x
    x = 167,202,216,625.01/471,712.26
  6. Step 6: Final answer
    x = 354,458.07

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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.