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Finding the Fourth Proportional to 379,446.40, 569,825.70 and 202,299.40

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Solution

The fourth proportional to 379,446.40, 569,825.70 and 202,299.40 is: 303,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,446.40 : 569,825.70 = 202,299.40 : x
  2. Step 2: Convert to fraction form
    379,446.40/569,825.70 = 202,299.40/x
  3. Step 3: Cross multiply
    379,446.40x = 569,825.70 × 202,299.40
  4. Step 4: Simplify right side
    379,446.40x = 115,275,397,214.58
  5. Step 5: Solve for x
    x = 115,275,397,214.58/379,446.40
  6. Step 6: Final answer
    x = 303,798.90

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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.