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Finding the Fourth Proportional to 310,523.40, 465,785.10 and 110,850.30

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Solution

The fourth proportional to 310,523.40, 465,785.10 and 110,850.30 is: 166,275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,523.40 : 465,785.10 = 110,850.30 : x
  2. Step 2: Convert to fraction form
    310,523.40/465,785.10 = 110,850.30/x
  3. Step 3: Cross multiply
    310,523.40x = 465,785.10 × 110,850.30
  4. Step 4: Simplify right side
    310,523.40x = 51,632,418,070.53
  5. Step 5: Solve for x
    x = 51,632,418,070.53/310,523.40
  6. Step 6: Final answer
    x = 166,275.45

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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.