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Finding the Fourth Proportional to 362,172.40, 499,774.28 and 201,019.76

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Solution

The fourth proportional to 362,172.40, 499,774.28 and 201,019.76 is: 277,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,172.40 : 499,774.28 = 201,019.76 : x
  2. Step 2: Convert to fraction form
    362,172.40/499,774.28 = 201,019.76/x
  3. Step 3: Cross multiply
    362,172.40x = 499,774.28 × 201,019.76
  4. Step 4: Simplify right side
    362,172.40x = 100,464,505,819.77
  5. Step 5: Solve for x
    x = 100,464,505,819.77/362,172.40
  6. Step 6: Final answer
    x = 277,394.15

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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.