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Finding the Fourth Proportional to 461,857.50, 692,806.41 and 146,337.66

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Solution

The fourth proportional to 461,857.50, 692,806.41 and 146,337.66 is: 219,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,857.50 : 692,806.41 = 146,337.66 : x
  2. Step 2: Convert to fraction form
    461,857.50/692,806.41 = 146,337.66/x
  3. Step 3: Cross multiply
    461,857.50x = 692,806.41 × 146,337.66
  4. Step 4: Simplify right side
    461,857.50x = 101,383,668,872.40
  5. Step 5: Solve for x
    x = 101,383,668,872.40/461,857.50
  6. Step 6: Final answer
    x = 219,512.88

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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.