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Finding the Fourth Proportional to 360,688.75, 497,773.52 and 201,712.75

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Solution

The fourth proportional to 360,688.75, 497,773.52 and 201,712.75 is: 278,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,688.75 : 497,773.52 = 201,712.75 : x
  2. Step 2: Convert to fraction form
    360,688.75/497,773.52 = 201,712.75/x
  3. Step 3: Cross multiply
    360,688.75x = 497,773.52 × 201,712.75
  4. Step 4: Simplify right side
    360,688.75x = 100,407,265,596.38
  5. Step 5: Solve for x
    x = 100,407,265,596.38/360,688.75
  6. Step 6: Final answer
    x = 278,376.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.