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Finding the Fourth Proportional to 374,715.60, 517,119.84 and 204,949.73

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Solution

The fourth proportional to 374,715.60, 517,119.84 and 204,949.73 is: 282,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,715.60 : 517,119.84 = 204,949.73 : x
  2. Step 2: Convert to fraction form
    374,715.60/517,119.84 = 204,949.73/x
  3. Step 3: Cross multiply
    374,715.60x = 517,119.84 × 204,949.73
  4. Step 4: Simplify right side
    374,715.60x = 105,983,569,000.04
  5. Step 5: Solve for x
    x = 105,983,569,000.04/374,715.60
  6. Step 6: Final answer
    x = 282,837.35

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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.