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Finding the Fourth Proportional to 342,698.13, 472,923.36 and 191,795.13

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Solution

The fourth proportional to 342,698.13, 472,923.36 and 191,795.13 is: 264,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,698.13 : 472,923.36 = 191,795.13 : x
  2. Step 2: Convert to fraction form
    342,698.13/472,923.36 = 191,795.13/x
  3. Step 3: Cross multiply
    342,698.13x = 472,923.36 × 191,795.13
  4. Step 4: Simplify right side
    342,698.13x = 90,704,397,311.24
  5. Step 5: Solve for x
    x = 90,704,397,311.24/342,698.13
  6. Step 6: Final answer
    x = 264,677.25

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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.