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Finding the Fourth Proportional to 310,601.40, 465,902.10 and 296,167.20

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Solution

The fourth proportional to 310,601.40, 465,902.10 and 296,167.20 is: 444,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,601.40 : 465,902.10 = 296,167.20 : x
  2. Step 2: Convert to fraction form
    310,601.40/465,902.10 = 296,167.20/x
  3. Step 3: Cross multiply
    310,601.40x = 465,902.10 × 296,167.20
  4. Step 4: Simplify right side
    310,601.40x = 137,984,920,431.12
  5. Step 5: Solve for x
    x = 137,984,920,431.12/310,601.40
  6. Step 6: Final answer
    x = 444,250.80

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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.