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Finding the Fourth Proportional to 342,471.47, 472,598.43 and 189,507.02

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Solution

The fourth proportional to 342,471.47, 472,598.43 and 189,507.02 is: 261,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,471.47 : 472,598.43 = 189,507.02 : x
  2. Step 2: Convert to fraction form
    342,471.47/472,598.43 = 189,507.02/x
  3. Step 3: Cross multiply
    342,471.47x = 472,598.43 × 189,507.02
  4. Step 4: Simplify right side
    342,471.47x = 89,560,720,125.98
  5. Step 5: Solve for x
    x = 89,560,720,125.98/342,471.47
  6. Step 6: Final answer
    x = 261,512.94

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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.