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Finding the Fourth Proportional to 413,282.40, 620,311.68 and 203,071.20

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Solution

The fourth proportional to 413,282.40, 620,311.68 and 203,071.20 is: 304,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,282.40 : 620,311.68 = 203,071.20 : x
  2. Step 2: Convert to fraction form
    413,282.40/620,311.68 = 203,071.20/x
  3. Step 3: Cross multiply
    413,282.40x = 620,311.68 × 203,071.20
  4. Step 4: Simplify right side
    413,282.40x = 125,967,437,231.62
  5. Step 5: Solve for x
    x = 125,967,437,231.62/413,282.40
  6. Step 6: Final answer
    x = 304,797.49

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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.