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Finding the Fourth Proportional to 557,103.92, 768,821.04 and 315,382.10

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Solution

The fourth proportional to 557,103.92, 768,821.04 and 315,382.10 is: 435,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,103.92 : 768,821.04 = 315,382.10 : x
  2. Step 2: Convert to fraction form
    557,103.92/768,821.04 = 315,382.10/x
  3. Step 3: Cross multiply
    557,103.92x = 768,821.04 × 315,382.10
  4. Step 4: Simplify right side
    557,103.92x = 242,472,394,119.38
  5. Step 5: Solve for x
    x = 242,472,394,119.38/557,103.92
  6. Step 6: Final answer
    x = 435,237.28

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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.