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Finding the Fourth Proportional to 414,941.40, 622,266.30 and 148,710.60

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Solution

The fourth proportional to 414,941.40, 622,266.30 and 148,710.60 is: 223,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,941.40 : 622,266.30 = 148,710.60 : x
  2. Step 2: Convert to fraction form
    414,941.40/622,266.30 = 148,710.60/x
  3. Step 3: Cross multiply
    414,941.40x = 622,266.30 × 148,710.60
  4. Step 4: Simplify right side
    414,941.40x = 92,537,594,832.78
  5. Step 5: Solve for x
    x = 92,537,594,832.78/414,941.40
  6. Step 6: Final answer
    x = 223,013.65

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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.