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Finding the Fourth Proportional to 488,069.89, 731,933.31 and 146,411.44

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Solution

The fourth proportional to 488,069.89, 731,933.31 and 146,411.44 is: 219,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,069.89 : 731,933.31 = 146,411.44 : x
  2. Step 2: Convert to fraction form
    488,069.89/731,933.31 = 146,411.44/x
  3. Step 3: Cross multiply
    488,069.89x = 731,933.31 × 146,411.44
  4. Step 4: Simplify right side
    488,069.89x = 107,163,409,901.07
  5. Step 5: Solve for x
    x = 107,163,409,901.07/488,069.89
  6. Step 6: Final answer
    x = 219,565.71

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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.