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Finding the Fourth Proportional to 362,178.52, 499,805.50 and 201,035.50

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Solution

The fourth proportional to 362,178.52, 499,805.50 and 201,035.50 is: 277,428.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,178.52 : 499,805.50 = 201,035.50 : x
  2. Step 2: Convert to fraction form
    362,178.52/499,805.50 = 201,035.50/x
  3. Step 3: Cross multiply
    362,178.52x = 499,805.50 × 201,035.50
  4. Step 4: Simplify right side
    362,178.52x = 100,478,648,595.25
  5. Step 5: Solve for x
    x = 100,478,648,595.25/362,178.52
  6. Step 6: Final answer
    x = 277,428.51

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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.