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Finding the Fourth Proportional to 458,697.72, 632,701.26 and 288,789.24

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Solution

The fourth proportional to 458,697.72, 632,701.26 and 288,789.24 is: 398,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,697.72 : 632,701.26 = 288,789.24 : x
  2. Step 2: Convert to fraction form
    458,697.72/632,701.26 = 288,789.24/x
  3. Step 3: Cross multiply
    458,697.72x = 632,701.26 × 288,789.24
  4. Step 4: Simplify right side
    458,697.72x = 182,717,316,022.44
  5. Step 5: Solve for x
    x = 182,717,316,022.44/458,697.72
  6. Step 6: Final answer
    x = 398,339.27

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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.