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Finding the Fourth Proportional to 409,079.60, 564,598.68 and 263,844.56

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Solution

The fourth proportional to 409,079.60, 564,598.68 and 263,844.56 is: 364,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,079.60 : 564,598.68 = 263,844.56 : x
  2. Step 2: Convert to fraction form
    409,079.60/564,598.68 = 263,844.56/x
  3. Step 3: Cross multiply
    409,079.60x = 564,598.68 × 263,844.56
  4. Step 4: Simplify right side
    409,079.60x = 148,966,290,301.18
  5. Step 5: Solve for x
    x = 148,966,290,301.18/409,079.60
  6. Step 6: Final answer
    x = 364,149.89

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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.