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Finding the Fourth Proportional to 310,080.12, 465,035.10 and 85,387.80

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Solution

The fourth proportional to 310,080.12, 465,035.10 and 85,387.80 is: 128,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,080.12 : 465,035.10 = 85,387.80 : x
  2. Step 2: Convert to fraction form
    310,080.12/465,035.10 = 85,387.80/x
  3. Step 3: Cross multiply
    310,080.12x = 465,035.10 × 85,387.80
  4. Step 4: Simplify right side
    310,080.12x = 39,708,324,111.78
  5. Step 5: Solve for x
    x = 39,708,324,111.78/310,080.12
  6. Step 6: Final answer
    x = 128,058.27

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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.