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Finding the Fourth Proportional to 294,446.98, 441,711.78 and 144,693.16

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Solution

The fourth proportional to 294,446.98, 441,711.78 and 144,693.16 is: 217,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,446.98 : 441,711.78 = 144,693.16 : x
  2. Step 2: Convert to fraction form
    294,446.98/441,711.78 = 144,693.16/x
  3. Step 3: Cross multiply
    294,446.98x = 441,711.78 × 144,693.16
  4. Step 4: Simplify right side
    294,446.98x = 63,912,673,257.42
  5. Step 5: Solve for x
    x = 63,912,673,257.42/294,446.98
  6. Step 6: Final answer
    x = 217,060.04

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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.