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Finding the Fourth Proportional to 362,404.96, 500,101.92 and 201,270.40

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Solution

The fourth proportional to 362,404.96, 500,101.92 and 201,270.40 is: 277,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,404.96 : 500,101.92 = 201,270.40 : x
  2. Step 2: Convert to fraction form
    362,404.96/500,101.92 = 201,270.40/x
  3. Step 3: Cross multiply
    362,404.96x = 500,101.92 × 201,270.40
  4. Step 4: Simplify right side
    362,404.96x = 100,655,713,479.17
  5. Step 5: Solve for x
    x = 100,655,713,479.17/362,404.96
  6. Step 6: Final answer
    x = 277,743.75

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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.