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Finding the Fourth Proportional to 568,376.40, 784,355.16 and 313,727.52

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Solution

The fourth proportional to 568,376.40, 784,355.16 and 313,727.52 is: 432,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,376.40 : 784,355.16 = 313,727.52 : x
  2. Step 2: Convert to fraction form
    568,376.40/784,355.16 = 313,727.52/x
  3. Step 3: Cross multiply
    568,376.40x = 784,355.16 × 313,727.52
  4. Step 4: Simplify right side
    568,376.40x = 246,073,799,146.00
  5. Step 5: Solve for x
    x = 246,073,799,146.00/568,376.40
  6. Step 6: Final answer
    x = 432,941.62

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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.