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Finding the Fourth Proportional to 422,886.50, 634,262.20 and 123,297.02

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Solution

The fourth proportional to 422,886.50, 634,262.20 and 123,297.02 is: 184,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,886.50 : 634,262.20 = 123,297.02 : x
  2. Step 2: Convert to fraction form
    422,886.50/634,262.20 = 123,297.02/x
  3. Step 3: Cross multiply
    422,886.50x = 634,262.20 × 123,297.02
  4. Step 4: Simplify right side
    422,886.50x = 78,202,639,158.64
  5. Step 5: Solve for x
    x = 78,202,639,158.64/422,886.50
  6. Step 6: Final answer
    x = 184,925.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.