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Finding the Fourth Proportional to 708,716.96, 978,266.40 and 422,326.88

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Solution

The fourth proportional to 708,716.96, 978,266.40 and 422,326.88 is: 582,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,716.96 : 978,266.40 = 422,326.88 : x
  2. Step 2: Convert to fraction form
    708,716.96/978,266.40 = 422,326.88/x
  3. Step 3: Cross multiply
    708,716.96x = 978,266.40 × 422,326.88
  4. Step 4: Simplify right side
    708,716.96x = 413,148,196,520.83
  5. Step 5: Solve for x
    x = 413,148,196,520.83/708,716.96
  6. Step 6: Final answer
    x = 582,952.32

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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.