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Finding the Fourth Proportional to 568,006.92, 783,849.51 and 313,358.10

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Solution

The fourth proportional to 568,006.92, 783,849.51 and 313,358.10 is: 432,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,006.92 : 783,849.51 = 313,358.10 : x
  2. Step 2: Convert to fraction form
    568,006.92/783,849.51 = 313,358.10/x
  3. Step 3: Cross multiply
    568,006.92x = 783,849.51 × 313,358.10
  4. Step 4: Simplify right side
    568,006.92x = 245,625,593,139.53
  5. Step 5: Solve for x
    x = 245,625,593,139.53/568,006.92
  6. Step 6: Final answer
    x = 432,434.16

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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.