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Finding the Fourth Proportional to 568,356.84, 784,325.70 and 313,702.56

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Solution

The fourth proportional to 568,356.84, 784,325.70 and 313,702.56 is: 432,905.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,356.84 : 784,325.70 = 313,702.56 : x
  2. Step 2: Convert to fraction form
    568,356.84/784,325.70 = 313,702.56/x
  3. Step 3: Cross multiply
    568,356.84x = 784,325.70 × 313,702.56
  4. Step 4: Simplify right side
    568,356.84x = 246,044,979,963.79
  5. Step 5: Solve for x
    x = 246,044,979,963.79/568,356.84
  6. Step 6: Final answer
    x = 432,905.81

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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.