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Finding the Fourth Proportional to 415,033.70, 622,623.45 and 148,948.70

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Solution

The fourth proportional to 415,033.70, 622,623.45 and 148,948.70 is: 223,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,033.70 : 622,623.45 = 148,948.70 : x
  2. Step 2: Convert to fraction form
    415,033.70/622,623.45 = 148,948.70/x
  3. Step 3: Cross multiply
    415,033.70x = 622,623.45 × 148,948.70
  4. Step 4: Simplify right side
    415,033.70x = 92,738,953,467.02
  5. Step 5: Solve for x
    x = 92,738,953,467.02/415,033.70
  6. Step 6: Final answer
    x = 223,449.21

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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.