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Finding the Fourth Proportional to 362,167.14, 499,767.10 and 201,022.23

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Solution

The fourth proportional to 362,167.14, 499,767.10 and 201,022.23 is: 277,397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,167.14 : 499,767.10 = 201,022.23 : x
  2. Step 2: Convert to fraction form
    362,167.14/499,767.10 = 201,022.23/x
  3. Step 3: Cross multiply
    362,167.14x = 499,767.10 × 201,022.23
  4. Step 4: Simplify right side
    362,167.14x = 100,464,296,922.63
  5. Step 5: Solve for x
    x = 100,464,296,922.63/362,167.14
  6. Step 6: Final answer
    x = 277,397.60

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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.