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Finding the Fourth Proportional to 652,856.18, 978,969.06 and 273,675.06

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Solution

The fourth proportional to 652,856.18, 978,969.06 and 273,675.06 is: 410,380.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,856.18 : 978,969.06 = 273,675.06 : x
  2. Step 2: Convert to fraction form
    652,856.18/978,969.06 = 273,675.06/x
  3. Step 3: Cross multiply
    652,856.18x = 978,969.06 × 273,675.06
  4. Step 4: Simplify right side
    652,856.18x = 267,919,416,233.64
  5. Step 5: Solve for x
    x = 267,919,416,233.64/652,856.18
  6. Step 6: Final answer
    x = 410,380.46

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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.