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Finding the Fourth Proportional to 568,328.16, 784,292.04 and 313,678.74

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Solution

The fourth proportional to 568,328.16, 784,292.04 and 313,678.74 is: 432,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,328.16 : 784,292.04 = 313,678.74 : x
  2. Step 2: Convert to fraction form
    568,328.16/784,292.04 = 313,678.74/x
  3. Step 3: Cross multiply
    568,328.16x = 784,292.04 × 313,678.74
  4. Step 4: Simplify right side
    568,328.16x = 246,015,738,899.23
  5. Step 5: Solve for x
    x = 246,015,738,899.23/568,328.16
  6. Step 6: Final answer
    x = 432,876.21

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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.