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Finding the Fourth Proportional to 553,287.10, 828,600.16 and 315,910.30

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Solution

The fourth proportional to 553,287.10, 828,600.16 and 315,910.30 is: 473,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,287.10 : 828,600.16 = 315,910.30 : x
  2. Step 2: Convert to fraction form
    553,287.10/828,600.16 = 315,910.30/x
  3. Step 3: Cross multiply
    553,287.10x = 828,600.16 × 315,910.30
  4. Step 4: Simplify right side
    553,287.10x = 261,763,325,125.65
  5. Step 5: Solve for x
    x = 261,763,325,125.65/553,287.10
  6. Step 6: Final answer
    x = 473,105.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.