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Finding the Fourth Proportional to 458,587.48, 687,647 and 269,417.38

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Solution

The fourth proportional to 458,587.48, 687,647 and 269,417.38 is: 403,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,587.48 : 687,647 = 269,417.38 : x
  2. Step 2: Convert to fraction form
    458,587.48/687,647 = 269,417.38/x
  3. Step 3: Cross multiply
    458,587.48x = 687,647 × 269,417.38
  4. Step 4: Simplify right side
    458,587.48x = 185,264,053,104.86
  5. Step 5: Solve for x
    x = 185,264,053,104.86/458,587.48
  6. Step 6: Final answer
    x = 403,988.47

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