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Finding the Fourth Proportional to 265,316.17, 397,660.78 and 262,356.43

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Solution

The fourth proportional to 265,316.17, 397,660.78 and 262,356.43 is: 393,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,316.17 : 397,660.78 = 262,356.43 : x
  2. Step 2: Convert to fraction form
    265,316.17/397,660.78 = 262,356.43/x
  3. Step 3: Cross multiply
    265,316.17x = 397,660.78 × 262,356.43
  4. Step 4: Simplify right side
    265,316.17x = 104,328,859,291.73
  5. Step 5: Solve for x
    x = 104,328,859,291.73/265,316.17
  6. Step 6: Final answer
    x = 393,224.66

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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.