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Finding the Fourth Proportional to 362,874.69, 500,784.15 and 201,732.42

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Solution

The fourth proportional to 362,874.69, 500,784.15 and 201,732.42 is: 278,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,874.69 : 500,784.15 = 201,732.42 : x
  2. Step 2: Convert to fraction form
    362,874.69/500,784.15 = 201,732.42/x
  3. Step 3: Cross multiply
    362,874.69x = 500,784.15 × 201,732.42
  4. Step 4: Simplify right side
    362,874.69x = 101,024,398,477.14
  5. Step 5: Solve for x
    x = 101,024,398,477.14/362,874.69
  6. Step 6: Final answer
    x = 278,400.23

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1.5x scale

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.