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Finding the Fourth Proportional to 568,095.96, 784,256.52 and 353,305.23

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Solution

The fourth proportional to 568,095.96, 784,256.52 and 353,305.23 is: 487,737.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,095.96 : 784,256.52 = 353,305.23 : x
  2. Step 2: Convert to fraction form
    568,095.96/784,256.52 = 353,305.23/x
  3. Step 3: Cross multiply
    568,095.96x = 784,256.52 × 353,305.23
  4. Step 4: Simplify right side
    568,095.96x = 277,081,930,177.60
  5. Step 5: Solve for x
    x = 277,081,930,177.60/568,095.96
  6. Step 6: Final answer
    x = 487,737.90

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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.