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Finding the Fourth Proportional to 297,358.16, 410,080.08 and 202,007.12

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Solution

The fourth proportional to 297,358.16, 410,080.08 and 202,007.12 is: 278,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,358.16 : 410,080.08 = 202,007.12 : x
  2. Step 2: Convert to fraction form
    297,358.16/410,080.08 = 202,007.12/x
  3. Step 3: Cross multiply
    297,358.16x = 410,080.08 × 202,007.12
  4. Step 4: Simplify right side
    297,358.16x = 82,839,095,930.17
  5. Step 5: Solve for x
    x = 82,839,095,930.17/297,358.16
  6. Step 6: Final answer
    x = 278,583.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.