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Finding the Fourth Proportional to 362,726.34, 500,563.38 and 201,580.89

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Solution

The fourth proportional to 362,726.34, 500,563.38 and 201,580.89 is: 278,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,726.34 : 500,563.38 = 201,580.89 : x
  2. Step 2: Convert to fraction form
    362,726.34/500,563.38 = 201,580.89/x
  3. Step 3: Cross multiply
    362,726.34x = 500,563.38 × 201,580.89
  4. Step 4: Simplify right side
    362,726.34x = 100,904,011,641.81
  5. Step 5: Solve for x
    x = 100,904,011,641.81/362,726.34
  6. Step 6: Final answer
    x = 278,182.20

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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.