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Finding the Fourth Proportional to 362,478.70, 500,206.80 and 201,344.14

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Solution

The fourth proportional to 362,478.70, 500,206.80 and 201,344.14 is: 277,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,478.70 : 500,206.80 = 201,344.14 : x
  2. Step 2: Convert to fraction form
    362,478.70/500,206.80 = 201,344.14/x
  3. Step 3: Cross multiply
    362,478.70x = 500,206.80 × 201,344.14
  4. Step 4: Simplify right side
    362,478.70x = 100,713,707,968.15
  5. Step 5: Solve for x
    x = 100,713,707,968.15/362,478.70
  6. Step 6: Final answer
    x = 277,847.24

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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.