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Finding the Fourth Proportional to 458,502.22, 687,775.20 and 192,271.42

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Solution

The fourth proportional to 458,502.22, 687,775.20 and 192,271.42 is: 288,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,502.22 : 687,775.20 = 192,271.42 : x
  2. Step 2: Convert to fraction form
    458,502.22/687,775.20 = 192,271.42/x
  3. Step 3: Cross multiply
    458,502.22x = 687,775.20 × 192,271.42
  4. Step 4: Simplify right side
    458,502.22x = 132,239,514,344.78
  5. Step 5: Solve for x
    x = 132,239,514,344.78/458,502.22
  6. Step 6: Final answer
    x = 288,416.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.