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Finding the Fourth Proportional to 568,313.64, 784,271.20 and 313,663

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Solution

The fourth proportional to 568,313.64, 784,271.20 and 313,663 is: 432,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,313.64 : 784,271.20 = 313,663 : x
  2. Step 2: Convert to fraction form
    568,313.64/784,271.20 = 313,663/x
  3. Step 3: Cross multiply
    568,313.64x = 784,271.20 × 313,663
  4. Step 4: Simplify right side
    568,313.64x = 245,996,857,405.60
  5. Step 5: Solve for x
    x = 245,996,857,405.60/568,313.64
  6. Step 6: Final answer
    x = 432,854.04

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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.