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Finding the Fourth Proportional to 305,308.26, 457,874.88 and 102,882.33

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Solution

The fourth proportional to 305,308.26, 457,874.88 and 102,882.33 is: 154,294.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,308.26 : 457,874.88 = 102,882.33 : x
  2. Step 2: Convert to fraction form
    305,308.26/457,874.88 = 102,882.33/x
  3. Step 3: Cross multiply
    305,308.26x = 457,874.88 × 102,882.33
  4. Step 4: Simplify right side
    305,308.26x = 47,107,234,502.87
  5. Step 5: Solve for x
    x = 47,107,234,502.87/305,308.26
  6. Step 6: Final answer
    x = 154,294.01

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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.