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Finding the Fourth Proportional to 596,448, 823,098.24 and 328,176

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Solution

The fourth proportional to 596,448, 823,098.24 and 328,176 is: 452,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,448 : 823,098.24 = 328,176 : x
  2. Step 2: Convert to fraction form
    596,448/823,098.24 = 328,176/x
  3. Step 3: Cross multiply
    596,448x = 823,098.24 × 328,176
  4. Step 4: Simplify right side
    596,448x = 270,121,088,010.24
  5. Step 5: Solve for x
    x = 270,121,088,010.24/596,448
  6. Step 6: Final answer
    x = 452,882.88

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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.