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Finding the Fourth Proportional to 342,386.60, 472,507.43 and 189,422.15

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Solution

The fourth proportional to 342,386.60, 472,507.43 and 189,422.15 is: 261,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,386.60 : 472,507.43 = 189,422.15 : x
  2. Step 2: Convert to fraction form
    342,386.60/472,507.43 = 189,422.15/x
  3. Step 3: Cross multiply
    342,386.60x = 472,507.43 × 189,422.15
  4. Step 4: Simplify right side
    342,386.60x = 89,503,369,971.93
  5. Step 5: Solve for x
    x = 89,503,369,971.93/342,386.60
  6. Step 6: Final answer
    x = 261,410.26

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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.