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Finding the Fourth Proportional to 433,069.20, 649,603.80 and 133,523.10

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Solution

The fourth proportional to 433,069.20, 649,603.80 and 133,523.10 is: 200,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,069.20 : 649,603.80 = 133,523.10 : x
  2. Step 2: Convert to fraction form
    433,069.20/649,603.80 = 133,523.10/x
  3. Step 3: Cross multiply
    433,069.20x = 649,603.80 × 133,523.10
  4. Step 4: Simplify right side
    433,069.20x = 86,737,113,147.78
  5. Step 5: Solve for x
    x = 86,737,113,147.78/433,069.20
  6. Step 6: Final answer
    x = 200,284.65

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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.