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Finding the Fourth Proportional to 310,225.86, 465,283.35 and 82,522.71

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Solution

The fourth proportional to 310,225.86, 465,283.35 and 82,522.71 is: 123,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,225.86 : 465,283.35 = 82,522.71 : x
  2. Step 2: Convert to fraction form
    310,225.86/465,283.35 = 82,522.71/x
  3. Step 3: Cross multiply
    310,225.86x = 465,283.35 × 82,522.71
  4. Step 4: Simplify right side
    310,225.86x = 38,396,442,959.88
  5. Step 5: Solve for x
    x = 38,396,442,959.88/310,225.86
  6. Step 6: Final answer
    x = 123,769.32

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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.