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Finding the Fourth Proportional to 421,862.18, 582,169.38 and 238,139.42

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Solution

The fourth proportional to 421,862.18, 582,169.38 and 238,139.42 is: 328,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,862.18 : 582,169.38 = 238,139.42 : x
  2. Step 2: Convert to fraction form
    421,862.18/582,169.38 = 238,139.42/x
  3. Step 3: Cross multiply
    421,862.18x = 582,169.38 × 238,139.42
  4. Step 4: Simplify right side
    421,862.18x = 138,637,478,494.96
  5. Step 5: Solve for x
    x = 138,637,478,494.96/421,862.18
  6. Step 6: Final answer
    x = 328,632.16

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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.