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Finding the Fourth Proportional to 283,898.32, 424,961.72 and 209,102.92

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Solution

The fourth proportional to 283,898.32, 424,961.72 and 209,102.92 is: 313,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,898.32 : 424,961.72 = 209,102.92 : x
  2. Step 2: Convert to fraction form
    283,898.32/424,961.72 = 209,102.92/x
  3. Step 3: Cross multiply
    283,898.32x = 424,961.72 × 209,102.92
  4. Step 4: Simplify right side
    283,898.32x = 88,860,736,540.22
  5. Step 5: Solve for x
    x = 88,860,736,540.22/283,898.32
  6. Step 6: Final answer
    x = 313,001.98

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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.