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Finding the Fourth Proportional to 283,897.31, 424,960.23 and 209,101.91

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Solution

The fourth proportional to 283,897.31, 424,960.23 and 209,101.91 is: 313,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,897.31 : 424,960.23 = 209,101.91 : x
  2. Step 2: Convert to fraction form
    283,897.31/424,960.23 = 209,101.91/x
  3. Step 3: Cross multiply
    283,897.31x = 424,960.23 × 209,101.91
  4. Step 4: Simplify right side
    283,897.31x = 88,859,995,767.04
  5. Step 5: Solve for x
    x = 88,859,995,767.04/283,897.31
  6. Step 6: Final answer
    x = 313,000.49

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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.