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Finding the Fourth Proportional to 568,433.16, 784,438.80 and 313,784.52

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Solution

The fourth proportional to 568,433.16, 784,438.80 and 313,784.52 is: 433,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,433.16 : 784,438.80 = 313,784.52 : x
  2. Step 2: Convert to fraction form
    568,433.16/784,438.80 = 313,784.52/x
  3. Step 3: Cross multiply
    568,433.16x = 784,438.80 × 313,784.52
  4. Step 4: Simplify right side
    568,433.16x = 246,144,752,327.38
  5. Step 5: Solve for x
    x = 246,144,752,327.38/568,433.16
  6. Step 6: Final answer
    x = 433,023.21

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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.