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Finding the Fourth Proportional to 568,367.34, 784,347 and 313,718.60

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Solution

The fourth proportional to 568,367.34, 784,347 and 313,718.60 is: 432,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,367.34 : 784,347 = 313,718.60 : x
  2. Step 2: Convert to fraction form
    568,367.34/784,347 = 313,718.60/x
  3. Step 3: Cross multiply
    568,367.34x = 784,347 × 313,718.60
  4. Step 4: Simplify right side
    568,367.34x = 246,064,238,832.47
  5. Step 5: Solve for x
    x = 246,064,238,832.47/568,367.34
  6. Step 6: Final answer
    x = 432,931.70

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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.