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Finding the Fourth Proportional to 274,707.42, 413,932.95 and 225,881.25

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Solution

The fourth proportional to 274,707.42, 413,932.95 and 225,881.25 is: 340,361.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,707.42 : 413,932.95 = 225,881.25 : x
  2. Step 2: Convert to fraction form
    274,707.42/413,932.95 = 225,881.25/x
  3. Step 3: Cross multiply
    274,707.42x = 413,932.95 × 225,881.25
  4. Step 4: Simplify right side
    274,707.42x = 93,499,692,162.19
  5. Step 5: Solve for x
    x = 93,499,692,162.19/274,707.42
  6. Step 6: Final answer
    x = 340,361.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.