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Finding the Fourth Proportional to 265,233.40, 397,266.90 and 218,577.40

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Solution

The fourth proportional to 265,233.40, 397,266.90 and 218,577.40 is: 327,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,233.40 : 397,266.90 = 218,577.40 : x
  2. Step 2: Convert to fraction form
    265,233.40/397,266.90 = 218,577.40/x
  3. Step 3: Cross multiply
    265,233.40x = 397,266.90 × 218,577.40
  4. Step 4: Simplify right side
    265,233.40x = 86,833,566,108.06
  5. Step 5: Solve for x
    x = 86,833,566,108.06/265,233.40
  6. Step 6: Final answer
    x = 327,385.49

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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.