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Finding the Fourth Proportional to 283,897.32, 424,960.22 and 209,101.92

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Solution

The fourth proportional to 283,897.32, 424,960.22 and 209,101.92 is: 313,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,897.32 : 424,960.22 = 209,101.92 : x
  2. Step 2: Convert to fraction form
    283,897.32/424,960.22 = 209,101.92/x
  3. Step 3: Cross multiply
    283,897.32x = 424,960.22 × 209,101.92
  4. Step 4: Simplify right side
    283,897.32x = 88,859,997,925.62
  5. Step 5: Solve for x
    x = 88,859,997,925.62/283,897.32
  6. Step 6: Final answer
    x = 313,000.48

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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.