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Finding the Fourth Proportional to 316,002.10, 474,003.15 and 204,027.70

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Solution

The fourth proportional to 316,002.10, 474,003.15 and 204,027.70 is: 306,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,002.10 : 474,003.15 = 204,027.70 : x
  2. Step 2: Convert to fraction form
    316,002.10/474,003.15 = 204,027.70/x
  3. Step 3: Cross multiply
    316,002.10x = 474,003.15 × 204,027.70
  4. Step 4: Simplify right side
    316,002.10x = 96,709,772,487.26
  5. Step 5: Solve for x
    x = 96,709,772,487.26/316,002.10
  6. Step 6: Final answer
    x = 306,041.55

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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.