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Finding the Fourth Proportional to 782,805, 1,174,207.50 and 191,829

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Solution

The fourth proportional to 782,805, 1,174,207.50 and 191,829 is: 287,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,805 : 1,174,207.50 = 191,829 : x
  2. Step 2: Convert to fraction form
    782,805/1,174,207.50 = 191,829/x
  3. Step 3: Cross multiply
    782,805x = 1,174,207.50 × 191,829
  4. Step 4: Simplify right side
    782,805x = 225,247,050,517.50
  5. Step 5: Solve for x
    x = 225,247,050,517.50/782,805
  6. Step 6: Final answer
    x = 287,743.50

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1.5x scale

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.