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Finding the Fourth Proportional to 232,580.60, 320,708.88 and 202,096.64

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Solution

The fourth proportional to 232,580.60, 320,708.88 and 202,096.64 is: 278,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,580.60 : 320,708.88 = 202,096.64 : x
  2. Step 2: Convert to fraction form
    232,580.60/320,708.88 = 202,096.64/x
  3. Step 3: Cross multiply
    232,580.60x = 320,708.88 × 202,096.64
  4. Step 4: Simplify right side
    232,580.60x = 64,814,187,066.16
  5. Step 5: Solve for x
    x = 64,814,187,066.16/232,580.60
  6. Step 6: Final answer
    x = 278,674.09

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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.