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Finding the Fourth Proportional to 414,903.40, 622,500.90 and 148,672.60

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Solution

The fourth proportional to 414,903.40, 622,500.90 and 148,672.60 is: 223,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,903.40 : 622,500.90 = 148,672.60 : x
  2. Step 2: Convert to fraction form
    414,903.40/622,500.90 = 148,672.60/x
  3. Step 3: Cross multiply
    414,903.40x = 622,500.90 × 148,672.60
  4. Step 4: Simplify right side
    414,903.40x = 92,548,827,305.34
  5. Step 5: Solve for x
    x = 92,548,827,305.34/414,903.40
  6. Step 6: Final answer
    x = 223,061.14

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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.