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Finding the Fourth Proportional to 397,763.44, 596,625.72 and 148,426

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Solution

The fourth proportional to 397,763.44, 596,625.72 and 148,426 is: 222,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,763.44 : 596,625.72 = 148,426 : x
  2. Step 2: Convert to fraction form
    397,763.44/596,625.72 = 148,426/x
  3. Step 3: Cross multiply
    397,763.44x = 596,625.72 × 148,426
  4. Step 4: Simplify right side
    397,763.44x = 88,554,769,116.72
  5. Step 5: Solve for x
    x = 88,554,769,116.72/397,763.44
  6. Step 6: Final answer
    x = 222,631.75

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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.