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Finding the Fourth Proportional to 274,810.39, 412,216.49 and 97,322.58

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Solution

The fourth proportional to 274,810.39, 412,216.49 and 97,322.58 is: 145,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,810.39 : 412,216.49 = 97,322.58 : x
  2. Step 2: Convert to fraction form
    274,810.39/412,216.49 = 97,322.58/x
  3. Step 3: Cross multiply
    274,810.39x = 412,216.49 × 97,322.58
  4. Step 4: Simplify right side
    274,810.39x = 40,117,972,568.65
  5. Step 5: Solve for x
    x = 40,117,972,568.65/274,810.39
  6. Step 6: Final answer
    x = 145,984.19

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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.