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Finding the Fourth Proportional to 396,646.50, 594,969.76 and 101,158.50

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Solution

The fourth proportional to 396,646.50, 594,969.76 and 101,158.50 is: 151,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,646.50 : 594,969.76 = 101,158.50 : x
  2. Step 2: Convert to fraction form
    396,646.50/594,969.76 = 101,158.50/x
  3. Step 3: Cross multiply
    396,646.50x = 594,969.76 × 101,158.50
  4. Step 4: Simplify right side
    396,646.50x = 60,186,248,466.96
  5. Step 5: Solve for x
    x = 60,186,248,466.96/396,646.50
  6. Step 6: Final answer
    x = 151,737.75

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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.