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Finding the Fourth Proportional to 310,258.59, 465,332.39 and 82,555.44

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Solution

The fourth proportional to 310,258.59, 465,332.39 and 82,555.44 is: 123,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,258.59 : 465,332.39 = 82,555.44 : x
  2. Step 2: Convert to fraction form
    310,258.59/465,332.39 = 82,555.44/x
  3. Step 3: Cross multiply
    310,258.59x = 465,332.39 × 82,555.44
  4. Step 4: Simplify right side
    310,258.59x = 38,415,720,202.70
  5. Step 5: Solve for x
    x = 38,415,720,202.70/310,258.59
  6. Step 6: Final answer
    x = 123,818.39

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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.