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Finding the Fourth Proportional to 422,593.05, 634,094.61 and 185,904.98

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Solution

The fourth proportional to 422,593.05, 634,094.61 and 185,904.98 is: 278,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,593.05 : 634,094.61 = 185,904.98 : x
  2. Step 2: Convert to fraction form
    422,593.05/634,094.61 = 185,904.98/x
  3. Step 3: Cross multiply
    422,593.05x = 634,094.61 × 185,904.98
  4. Step 4: Simplify right side
    422,593.05x = 117,881,345,790.16
  5. Step 5: Solve for x
    x = 117,881,345,790.16/422,593.05
  6. Step 6: Final answer
    x = 278,947.67

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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.