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Finding the Fourth Proportional to 362,184.12, 499,760.80 and 201,040.40

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Solution

The fourth proportional to 362,184.12, 499,760.80 and 201,040.40 is: 277,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,184.12 : 499,760.80 = 201,040.40 : x
  2. Step 2: Convert to fraction form
    362,184.12/499,760.80 = 201,040.40/x
  3. Step 3: Cross multiply
    362,184.12x = 499,760.80 × 201,040.40
  4. Step 4: Simplify right side
    362,184.12x = 100,472,111,136.32
  5. Step 5: Solve for x
    x = 100,472,111,136.32/362,184.12
  6. Step 6: Final answer
    x = 277,406.17

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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.