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Finding the Fourth Proportional to 362,151.72, 499,764.48 and 201,006.30

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Solution

The fourth proportional to 362,151.72, 499,764.48 and 201,006.30 is: 277,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,151.72 : 499,764.48 = 201,006.30 : x
  2. Step 2: Convert to fraction form
    362,151.72/499,764.48 = 201,006.30/x
  3. Step 3: Cross multiply
    362,151.72x = 499,764.48 × 201,006.30
  4. Step 4: Simplify right side
    362,151.72x = 100,455,808,996.22
  5. Step 5: Solve for x
    x = 100,455,808,996.22/362,151.72
  6. Step 6: Final answer
    x = 277,385.98

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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.