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Finding the Fourth Proportional to 583,863, 875,794.50 and 140,631

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Solution

The fourth proportional to 583,863, 875,794.50 and 140,631 is: 210,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,863 : 875,794.50 = 140,631 : x
  2. Step 2: Convert to fraction form
    583,863/875,794.50 = 140,631/x
  3. Step 3: Cross multiply
    583,863x = 875,794.50 × 140,631
  4. Step 4: Simplify right side
    583,863x = 123,163,856,329.50
  5. Step 5: Solve for x
    x = 123,163,856,329.50/583,863
  6. Step 6: Final answer
    x = 210,946.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.