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Finding the Fourth Proportional to 441,624, 609,441.60 and 240,420.48

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Solution

The fourth proportional to 441,624, 609,441.60 and 240,420.48 is: 331,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,624 : 609,441.60 = 240,420.48 : x
  2. Step 2: Convert to fraction form
    441,624/609,441.60 = 240,420.48/x
  3. Step 3: Cross multiply
    441,624x = 609,441.60 × 240,420.48
  4. Step 4: Simplify right side
    441,624x = 146,522,242,003.97
  5. Step 5: Solve for x
    x = 146,522,242,003.97/441,624
  6. Step 6: Final answer
    x = 331,780.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.