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Finding the Fourth Proportional to 374,034.60, 516,159.54 and 204,269.40

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Solution

The fourth proportional to 374,034.60, 516,159.54 and 204,269.40 is: 281,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,034.60 : 516,159.54 = 204,269.40 : x
  2. Step 2: Convert to fraction form
    374,034.60/516,159.54 = 204,269.40/x
  3. Step 3: Cross multiply
    374,034.60x = 516,159.54 × 204,269.40
  4. Step 4: Simplify right side
    374,034.60x = 105,435,599,540.08
  5. Step 5: Solve for x
    x = 105,435,599,540.08/374,034.60
  6. Step 6: Final answer
    x = 281,887.29

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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.