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Finding the Fourth Proportional to 416,036.50, 573,947.97 and 243,867.17

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Solution

The fourth proportional to 416,036.50, 573,947.97 and 243,867.17 is: 336,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,036.50 : 573,947.97 = 243,867.17 : x
  2. Step 2: Convert to fraction form
    416,036.50/573,947.97 = 243,867.17/x
  3. Step 3: Cross multiply
    416,036.50x = 573,947.97 × 243,867.17
  4. Step 4: Simplify right side
    416,036.50x = 139,967,067,171.15
  5. Step 5: Solve for x
    x = 139,967,067,171.15/416,036.50
  6. Step 6: Final answer
    x = 336,429.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.