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Finding the Fourth Proportional to 362,142.51, 499,733.19 and 200,997.60

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Solution

The fourth proportional to 362,142.51, 499,733.19 and 200,997.60 is: 277,363.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,142.51 : 499,733.19 = 200,997.60 : x
  2. Step 2: Convert to fraction form
    362,142.51/499,733.19 = 200,997.60/x
  3. Step 3: Cross multiply
    362,142.51x = 499,733.19 × 200,997.60
  4. Step 4: Simplify right side
    362,142.51x = 100,445,171,830.34
  5. Step 5: Solve for x
    x = 100,445,171,830.34/362,142.51
  6. Step 6: Final answer
    x = 277,363.66

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1.5x scale

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.