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Finding the Fourth Proportional to 568,714.41, 784,820.97 and 314,060.13

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Solution

The fourth proportional to 568,714.41, 784,820.97 and 314,060.13 is: 433,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,714.41 : 784,820.97 = 314,060.13 : x
  2. Step 2: Convert to fraction form
    568,714.41/784,820.97 = 314,060.13/x
  3. Step 3: Cross multiply
    568,714.41x = 784,820.97 × 314,060.13
  4. Step 4: Simplify right side
    568,714.41x = 246,480,975,864.93
  5. Step 5: Solve for x
    x = 246,480,975,864.93/568,714.41
  6. Step 6: Final answer
    x = 433,400.26

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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.