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Finding the Fourth Proportional to 342,262.90, 472,314.54 and 189,297.10

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Solution

The fourth proportional to 342,262.90, 472,314.54 and 189,297.10 is: 261,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,262.90 : 472,314.54 = 189,297.10 : x
  2. Step 2: Convert to fraction form
    342,262.90/472,314.54 = 189,297.10/x
  3. Step 3: Cross multiply
    342,262.90x = 472,314.54 × 189,297.10
  4. Step 4: Simplify right side
    342,262.90x = 89,407,772,709.83
  5. Step 5: Solve for x
    x = 89,407,772,709.83/342,262.90
  6. Step 6: Final answer
    x = 261,225.43

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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.