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Finding the Fourth Proportional to 296,002.30, 444,003.45 and 205,800.70

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Solution

The fourth proportional to 296,002.30, 444,003.45 and 205,800.70 is: 308,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,002.30 : 444,003.45 = 205,800.70 : x
  2. Step 2: Convert to fraction form
    296,002.30/444,003.45 = 205,800.70/x
  3. Step 3: Cross multiply
    296,002.30x = 444,003.45 × 205,800.70
  4. Step 4: Simplify right side
    296,002.30x = 91,376,220,812.42
  5. Step 5: Solve for x
    x = 91,376,220,812.42/296,002.30
  6. Step 6: Final answer
    x = 308,701.05

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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.