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Finding the Fourth Proportional to 294,229.17, 441,347.00 and 220,311.81

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Solution

The fourth proportional to 294,229.17, 441,347.00 and 220,311.81 is: 330,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,229.17 : 441,347.00 = 220,311.81 : x
  2. Step 2: Convert to fraction form
    294,229.17/441,347.00 = 220,311.81/x
  3. Step 3: Cross multiply
    294,229.17x = 441,347.00 × 220,311.81
  4. Step 4: Simplify right side
    294,229.17x = 97,233,955,306.51
  5. Step 5: Solve for x
    x = 97,233,955,306.51/294,229.17
  6. Step 6: Final answer
    x = 330,470.14

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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.