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Finding the Fourth Proportional to 568,271.74, 784,211.34 and 313,622.92

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Solution

The fourth proportional to 568,271.74, 784,211.34 and 313,622.92 is: 432,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,271.74 : 784,211.34 = 313,622.92 : x
  2. Step 2: Convert to fraction form
    568,271.74/784,211.34 = 313,622.92/x
  3. Step 3: Cross multiply
    568,271.74x = 784,211.34 × 313,622.92
  4. Step 4: Simplify right side
    568,271.74x = 245,946,650,347.91
  5. Step 5: Solve for x
    x = 245,946,650,347.91/568,271.74
  6. Step 6: Final answer
    x = 432,797.61

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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.