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Finding the Fourth Proportional to 568,446.64, 784,456.50 and 313,798

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Solution

The fourth proportional to 568,446.64, 784,456.50 and 313,798 is: 433,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,446.64 : 784,456.50 = 313,798 : x
  2. Step 2: Convert to fraction form
    568,446.64/784,456.50 = 313,798/x
  3. Step 3: Cross multiply
    568,446.64x = 784,456.50 × 313,798
  4. Step 4: Simplify right side
    568,446.64x = 246,160,880,787
  5. Step 5: Solve for x
    x = 246,160,880,787/568,446.64
  6. Step 6: Final answer
    x = 433,041.32

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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.