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Finding the Fourth Proportional to 294,354.56, 441,597.69 and 107,366.06

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Solution

The fourth proportional to 294,354.56, 441,597.69 and 107,366.06 is: 161,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,354.56 : 441,597.69 = 107,366.06 : x
  2. Step 2: Convert to fraction form
    294,354.56/441,597.69 = 107,366.06/x
  3. Step 3: Cross multiply
    294,354.56x = 441,597.69 × 107,366.06
  4. Step 4: Simplify right side
    294,354.56x = 47,412,605,184.40
  5. Step 5: Solve for x
    x = 47,412,605,184.40/294,354.56
  6. Step 6: Final answer
    x = 161,073.11

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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.