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Finding the Fourth Proportional to 229,716.20, 343,883.10 and 202,068.20

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Solution

The fourth proportional to 229,716.20, 343,883.10 and 202,068.20 is: 302,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716.20 : 343,883.10 = 202,068.20 : x
  2. Step 2: Convert to fraction form
    229,716.20/343,883.10 = 202,068.20/x
  3. Step 3: Cross multiply
    229,716.20x = 343,883.10 × 202,068.20
  4. Step 4: Simplify right side
    229,716.20x = 69,487,839,027.42
  5. Step 5: Solve for x
    x = 69,487,839,027.42/229,716.20
  6. Step 6: Final answer
    x = 302,494.29

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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.