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Finding the Fourth Proportional to 493,304.88, 739,657.68 and 193,426.18

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Solution

The fourth proportional to 493,304.88, 739,657.68 and 193,426.18 is: 290,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,304.88 : 739,657.68 = 193,426.18 : x
  2. Step 2: Convert to fraction form
    493,304.88/739,657.68 = 193,426.18/x
  3. Step 3: Cross multiply
    493,304.88x = 739,657.68 × 193,426.18
  4. Step 4: Simplify right side
    493,304.88x = 143,069,156,975.57
  5. Step 5: Solve for x
    x = 143,069,156,975.57/493,304.88
  6. Step 6: Final answer
    x = 290,021.77

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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.