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Finding the Fourth Proportional to 362,882.50, 500,794.94 and 201,740.24

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Solution

The fourth proportional to 362,882.50, 500,794.94 and 201,740.24 is: 278,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,882.50 : 500,794.94 = 201,740.24 : x
  2. Step 2: Convert to fraction form
    362,882.50/500,794.94 = 201,740.24/x
  3. Step 3: Cross multiply
    362,882.50x = 500,794.94 × 201,740.24
  4. Step 4: Simplify right side
    362,882.50x = 101,030,487,873.71
  5. Step 5: Solve for x
    x = 101,030,487,873.71/362,882.50
  6. Step 6: Final answer
    x = 278,411.02

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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.