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Finding the Fourth Proportional to 568,475.91, 784,491.94 and 313,821.63

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Solution

The fourth proportional to 568,475.91, 784,491.94 and 313,821.63 is: 433,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,475.91 : 784,491.94 = 313,821.63 : x
  2. Step 2: Convert to fraction form
    568,475.91/784,491.94 = 313,821.63/x
  3. Step 3: Cross multiply
    568,475.91x = 784,491.94 × 313,821.63
  4. Step 4: Simplify right side
    568,475.91x = 246,190,539,332.66
  5. Step 5: Solve for x
    x = 246,190,539,332.66/568,475.91
  6. Step 6: Final answer
    x = 433,071.19

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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.