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Finding the Fourth Proportional to 283,393.38, 424,623.51 and 198,012.90

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Solution

The fourth proportional to 283,393.38, 424,623.51 and 198,012.90 is: 296,693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,393.38 : 424,623.51 = 198,012.90 : x
  2. Step 2: Convert to fraction form
    283,393.38/424,623.51 = 198,012.90/x
  3. Step 3: Cross multiply
    283,393.38x = 424,623.51 × 198,012.90
  4. Step 4: Simplify right side
    283,393.38x = 84,080,932,623.28
  5. Step 5: Solve for x
    x = 84,080,932,623.28/283,393.38
  6. Step 6: Final answer
    x = 296,693.35

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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.