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Finding the Fourth Proportional to 342,456.16, 472,563.84 and 191,524

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Solution

The fourth proportional to 342,456.16, 472,563.84 and 191,524 is: 264,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,456.16 : 472,563.84 = 191,524 : x
  2. Step 2: Convert to fraction form
    342,456.16/472,563.84 = 191,524/x
  3. Step 3: Cross multiply
    342,456.16x = 472,563.84 × 191,524
  4. Step 4: Simplify right side
    342,456.16x = 90,507,316,892.16
  5. Step 5: Solve for x
    x = 90,507,316,892.16/342,456.16
  6. Step 6: Final answer
    x = 264,288.77

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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.