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Finding the Fourth Proportional to 721,785.75, 996,326.79 and 419,979.75

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Solution

The fourth proportional to 721,785.75, 996,326.79 and 419,979.75 is: 579,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,785.75 : 996,326.79 = 419,979.75 : x
  2. Step 2: Convert to fraction form
    721,785.75/996,326.79 = 419,979.75/x
  3. Step 3: Cross multiply
    721,785.75x = 996,326.79 × 419,979.75
  4. Step 4: Simplify right side
    721,785.75x = 418,437,076,182.50
  5. Step 5: Solve for x
    x = 418,437,076,182.50/721,785.75
  6. Step 6: Final answer
    x = 579,724.77

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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.