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Finding the Fourth Proportional to 342,497.77, 472,647.84 and 189,546.51

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Solution

The fourth proportional to 342,497.77, 472,647.84 and 189,546.51 is: 261,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,497.77 : 472,647.84 = 189,546.51 : x
  2. Step 2: Convert to fraction form
    342,497.77/472,647.84 = 189,546.51/x
  3. Step 3: Cross multiply
    342,497.77x = 472,647.84 × 189,546.51
  4. Step 4: Simplify right side
    342,497.77x = 89,588,747,766.57
  5. Step 5: Solve for x
    x = 89,588,747,766.57/342,497.77
  6. Step 6: Final answer
    x = 261,574.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.