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Finding the Fourth Proportional to 340,954.68, 511,526.52 and 148,845.60

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Solution

The fourth proportional to 340,954.68, 511,526.52 and 148,845.60 is: 223,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,954.68 : 511,526.52 = 148,845.60 : x
  2. Step 2: Convert to fraction form
    340,954.68/511,526.52 = 148,845.60/x
  3. Step 3: Cross multiply
    340,954.68x = 511,526.52 × 148,845.60
  4. Step 4: Simplify right side
    340,954.68x = 76,138,471,785.31
  5. Step 5: Solve for x
    x = 76,138,471,785.31/340,954.68
  6. Step 6: Final answer
    x = 223,309.65

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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.