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Finding the Fourth Proportional to 410,723.25, 566,798.10 and 231,875.25

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Solution

The fourth proportional to 410,723.25, 566,798.10 and 231,875.25 is: 319,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,723.25 : 566,798.10 = 231,875.25 : x
  2. Step 2: Convert to fraction form
    410,723.25/566,798.10 = 231,875.25/x
  3. Step 3: Cross multiply
    410,723.25x = 566,798.10 × 231,875.25
  4. Step 4: Simplify right side
    410,723.25x = 131,426,451,137.03
  5. Step 5: Solve for x
    x = 131,426,451,137.03/410,723.25
  6. Step 6: Final answer
    x = 319,987.85

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