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Finding the Fourth Proportional to 362,884, 500,797 and 201,741.74

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Solution

The fourth proportional to 362,884, 500,797 and 201,741.74 is: 278,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,884 : 500,797 = 201,741.74 : x
  2. Step 2: Convert to fraction form
    362,884/500,797 = 201,741.74/x
  3. Step 3: Cross multiply
    362,884x = 500,797 × 201,741.74
  4. Step 4: Simplify right side
    362,884x = 101,031,658,166.78
  5. Step 5: Solve for x
    x = 101,031,658,166.78/362,884
  6. Step 6: Final answer
    x = 278,413.10

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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.