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Finding the Fourth Proportional to 568,712.44, 784,816.86 and 314,058.52

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Solution

The fourth proportional to 568,712.44, 784,816.86 and 314,058.52 is: 433,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,712.44 : 784,816.86 = 314,058.52 : x
  2. Step 2: Convert to fraction form
    568,712.44/784,816.86 = 314,058.52/x
  3. Step 3: Cross multiply
    568,712.44x = 784,816.86 × 314,058.52
  4. Step 4: Simplify right side
    568,712.44x = 246,478,421,522.65
  5. Step 5: Solve for x
    x = 246,478,421,522.65/568,712.44
  6. Step 6: Final answer
    x = 433,397.27

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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.