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Finding the Fourth Proportional to 310,226.88, 465,394.92 and 160,426.44

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Solution

The fourth proportional to 310,226.88, 465,394.92 and 160,426.44 is: 240,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,226.88 : 465,394.92 = 160,426.44 : x
  2. Step 2: Convert to fraction form
    310,226.88/465,394.92 = 160,426.44/x
  3. Step 3: Cross multiply
    310,226.88x = 465,394.92 × 160,426.44
  4. Step 4: Simplify right side
    310,226.88x = 74,661,650,209.68
  5. Step 5: Solve for x
    x = 74,661,650,209.68/310,226.88
  6. Step 6: Final answer
    x = 240,667.90

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1.5x scale

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.