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Finding the Fourth Proportional to 298,002.84, 411,363.05 and 183,327.96

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Solution

The fourth proportional to 298,002.84, 411,363.05 and 183,327.96 is: 253,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,002.84 : 411,363.05 = 183,327.96 : x
  2. Step 2: Convert to fraction form
    298,002.84/411,363.05 = 183,327.96/x
  3. Step 3: Cross multiply
    298,002.84x = 411,363.05 × 183,327.96
  4. Step 4: Simplify right side
    298,002.84x = 75,414,348,775.88
  5. Step 5: Solve for x
    x = 75,414,348,775.88/298,002.84
  6. Step 6: Final answer
    x = 253,065.87

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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.