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Finding the Fourth Proportional to 342,342.06, 472,395.48 and 189,355.86

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Solution

The fourth proportional to 342,342.06, 472,395.48 and 189,355.86 is: 261,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,342.06 : 472,395.48 = 189,355.86 : x
  2. Step 2: Convert to fraction form
    342,342.06/472,395.48 = 189,355.86/x
  3. Step 3: Cross multiply
    342,342.06x = 472,395.48 × 189,355.86
  4. Step 4: Simplify right side
    342,342.06x = 89,450,852,375.51
  5. Step 5: Solve for x
    x = 89,450,852,375.51/342,342.06
  6. Step 6: Final answer
    x = 261,290.86

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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.