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Finding the Fourth Proportional to 342,742.20, 472,984.55 and 191,839.20

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Solution

The fourth proportional to 342,742.20, 472,984.55 and 191,839.20 is: 264,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,742.20 : 472,984.55 = 191,839.20 : x
  2. Step 2: Convert to fraction form
    342,742.20/472,984.55 = 191,839.20/x
  3. Step 3: Cross multiply
    342,742.20x = 472,984.55 × 191,839.20
  4. Step 4: Simplify right side
    342,742.20x = 90,736,977,684.36
  5. Step 5: Solve for x
    x = 90,736,977,684.36/342,742.20
  6. Step 6: Final answer
    x = 264,738.27

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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.