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Finding the Fourth Proportional to 362,695.68, 500,522.76 and 201,565.80

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Solution

The fourth proportional to 362,695.68, 500,522.76 and 201,565.80 is: 278,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,695.68 : 500,522.76 = 201,565.80 : x
  2. Step 2: Convert to fraction form
    362,695.68/500,522.76 = 201,565.80/x
  3. Step 3: Cross multiply
    362,695.68x = 500,522.76 × 201,565.80
  4. Step 4: Simplify right side
    362,695.68x = 100,888,270,537.61
  5. Step 5: Solve for x
    x = 100,888,270,537.61/362,695.68
  6. Step 6: Final answer
    x = 278,162.32

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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.