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Finding the Fourth Proportional to 396,643.50, 594,965.25 and 101,155.50

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Solution

The fourth proportional to 396,643.50, 594,965.25 and 101,155.50 is: 151,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,643.50 : 594,965.25 = 101,155.50 : x
  2. Step 2: Convert to fraction form
    396,643.50/594,965.25 = 101,155.50/x
  3. Step 3: Cross multiply
    396,643.50x = 594,965.25 × 101,155.50
  4. Step 4: Simplify right side
    396,643.50x = 60,184,007,346.38
  5. Step 5: Solve for x
    x = 60,184,007,346.38/396,643.50
  6. Step 6: Final answer
    x = 151,733.25

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1.5x scale

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.