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Finding the Fourth Proportional to 793,293, 1,189,939.50 and 202,317

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Solution

The fourth proportional to 793,293, 1,189,939.50 and 202,317 is: 303,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,293 : 1,189,939.50 = 202,317 : x
  2. Step 2: Convert to fraction form
    793,293/1,189,939.50 = 202,317/x
  3. Step 3: Cross multiply
    793,293x = 1,189,939.50 × 202,317
  4. Step 4: Simplify right side
    793,293x = 240,744,989,821.50
  5. Step 5: Solve for x
    x = 240,744,989,821.50/793,293
  6. Step 6: Final answer
    x = 303,475.50

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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.