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Finding the Fourth Proportional to 265,215.66, 397,812.70 and 65,531.02

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Solution

The fourth proportional to 265,215.66, 397,812.70 and 65,531.02 is: 98,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,215.66 : 397,812.70 = 65,531.02 : x
  2. Step 2: Convert to fraction form
    265,215.66/397,812.70 = 65,531.02/x
  3. Step 3: Cross multiply
    265,215.66x = 397,812.70 × 65,531.02
  4. Step 4: Simplify right side
    265,215.66x = 26,069,069,847.06
  5. Step 5: Solve for x
    x = 26,069,069,847.06/265,215.66
  6. Step 6: Final answer
    x = 98,293.86

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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.