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Finding the Fourth Proportional to 410,661.56, 566,680.95 and 238,551.02

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Solution

The fourth proportional to 410,661.56, 566,680.95 and 238,551.02 is: 329,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,661.56 : 566,680.95 = 238,551.02 : x
  2. Step 2: Convert to fraction form
    410,661.56/566,680.95 = 238,551.02/x
  3. Step 3: Cross multiply
    410,661.56x = 566,680.95 × 238,551.02
  4. Step 4: Simplify right side
    410,661.56x = 135,182,318,637.07
  5. Step 5: Solve for x
    x = 135,182,318,637.07/410,661.56
  6. Step 6: Final answer
    x = 329,181.82

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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.