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Finding the Fourth Proportional to 294,867.40, 442,301.10 and 73,251.40

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Solution

The fourth proportional to 294,867.40, 442,301.10 and 73,251.40 is: 109,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,867.40 : 442,301.10 = 73,251.40 : x
  2. Step 2: Convert to fraction form
    294,867.40/442,301.10 = 73,251.40/x
  3. Step 3: Cross multiply
    294,867.40x = 442,301.10 × 73,251.40
  4. Step 4: Simplify right side
    294,867.40x = 32,399,174,796.54
  5. Step 5: Solve for x
    x = 32,399,174,796.54/294,867.40
  6. Step 6: Final answer
    x = 109,877.10

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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.