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Finding the Fourth Proportional to 233,414.20, 349,343.70 and 205,420.60

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Solution

The fourth proportional to 233,414.20, 349,343.70 and 205,420.60 is: 307,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,414.20 : 349,343.70 = 205,420.60 : x
  2. Step 2: Convert to fraction form
    233,414.20/349,343.70 = 205,420.60/x
  3. Step 3: Cross multiply
    233,414.20x = 349,343.70 × 205,420.60
  4. Step 4: Simplify right side
    233,414.20x = 71,762,392,460.22
  5. Step 5: Solve for x
    x = 71,762,392,460.22/233,414.20
  6. Step 6: Final answer
    x = 307,446.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.