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Finding the Fourth Proportional to 310,165.26, 465,259.74 and 96,952.80

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Solution

The fourth proportional to 310,165.26, 465,259.74 and 96,952.80 is: 145,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,165.26 : 465,259.74 = 96,952.80 : x
  2. Step 2: Convert to fraction form
    310,165.26/465,259.74 = 96,952.80/x
  3. Step 3: Cross multiply
    310,165.26x = 465,259.74 × 96,952.80
  4. Step 4: Simplify right side
    310,165.26x = 45,108,234,520.27
  5. Step 5: Solve for x
    x = 45,108,234,520.27/310,165.26
  6. Step 6: Final answer
    x = 145,432.90

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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.