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Finding the Fourth Proportional to 471,044.48, 650,046.16 and 256,189.36

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Solution

The fourth proportional to 471,044.48, 650,046.16 and 256,189.36 is: 353,543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,044.48 : 650,046.16 = 256,189.36 : x
  2. Step 2: Convert to fraction form
    471,044.48/650,046.16 = 256,189.36/x
  3. Step 3: Cross multiply
    471,044.48x = 650,046.16 × 256,189.36
  4. Step 4: Simplify right side
    471,044.48x = 166,534,909,700.86
  5. Step 5: Solve for x
    x = 166,534,909,700.86/471,044.48
  6. Step 6: Final answer
    x = 353,543.92

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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.