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Finding the Fourth Proportional to 294,687.18, 442,161.45 and 154,412.46

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Solution

The fourth proportional to 294,687.18, 442,161.45 and 154,412.46 is: 231,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,687.18 : 442,161.45 = 154,412.46 : x
  2. Step 2: Convert to fraction form
    294,687.18/442,161.45 = 154,412.46/x
  3. Step 3: Cross multiply
    294,687.18x = 442,161.45 × 154,412.46
  4. Step 4: Simplify right side
    294,687.18x = 68,275,237,211.67
  5. Step 5: Solve for x
    x = 68,275,237,211.67/294,687.18
  6. Step 6: Final answer
    x = 231,687.16

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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.