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Finding the Fourth Proportional to 294,850.13, 442,275.19 and 73,234.13

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Solution

The fourth proportional to 294,850.13, 442,275.19 and 73,234.13 is: 109,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,850.13 : 442,275.19 = 73,234.13 : x
  2. Step 2: Convert to fraction form
    294,850.13/442,275.19 = 73,234.13/x
  3. Step 3: Cross multiply
    294,850.13x = 442,275.19 × 73,234.13
  4. Step 4: Simplify right side
    294,850.13x = 32,389,636,365.77
  5. Step 5: Solve for x
    x = 32,389,636,365.77/294,850.13
  6. Step 6: Final answer
    x = 109,851.19

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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.