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Finding the Fourth Proportional to 343,627.78, 474,230.01 and 192,734.50

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Solution

The fourth proportional to 343,627.78, 474,230.01 and 192,734.50 is: 265,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,627.78 : 474,230.01 = 192,734.50 : x
  2. Step 2: Convert to fraction form
    343,627.78/474,230.01 = 192,734.50/x
  3. Step 3: Cross multiply
    343,627.78x = 474,230.01 × 192,734.50
  4. Step 4: Simplify right side
    343,627.78x = 91,400,483,862.35
  5. Step 5: Solve for x
    x = 91,400,483,862.35/343,627.78
  6. Step 6: Final answer
    x = 265,986.89

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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.