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Finding the Fourth Proportional to 362,565.90, 500,420.97 and 201,476.34

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Solution

The fourth proportional to 362,565.90, 500,420.97 and 201,476.34 is: 278,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,565.90 : 500,420.97 = 201,476.34 : x
  2. Step 2: Convert to fraction form
    362,565.90/500,420.97 = 201,476.34/x
  3. Step 3: Cross multiply
    362,565.90x = 500,420.97 × 201,476.34
  4. Step 4: Simplify right side
    362,565.90x = 100,822,985,494.85
  5. Step 5: Solve for x
    x = 100,822,985,494.85/362,565.90
  6. Step 6: Final answer
    x = 278,081.82

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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.