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Finding the Fourth Proportional to 537,940.15, 806,968.68 and 201,142.15

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Solution

The fourth proportional to 537,940.15, 806,968.68 and 201,142.15 is: 301,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,940.15 : 806,968.68 = 201,142.15 : x
  2. Step 2: Convert to fraction form
    537,940.15/806,968.68 = 201,142.15/x
  3. Step 3: Cross multiply
    537,940.15x = 806,968.68 × 201,142.15
  4. Step 4: Simplify right side
    537,940.15x = 162,315,415,277.86
  5. Step 5: Solve for x
    x = 162,315,415,277.86/537,940.15
  6. Step 6: Final answer
    x = 301,735.08

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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.