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Finding the Fourth Proportional to 413,228.27, 570,211.19 and 231,960.14

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Solution

The fourth proportional to 413,228.27, 570,211.19 and 231,960.14 is: 320,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,228.27 : 570,211.19 = 231,960.14 : x
  2. Step 2: Convert to fraction form
    413,228.27/570,211.19 = 231,960.14/x
  3. Step 3: Cross multiply
    413,228.27x = 570,211.19 × 231,960.14
  4. Step 4: Simplify right side
    413,228.27x = 132,266,263,451.11
  5. Step 5: Solve for x
    x = 132,266,263,451.11/413,228.27
  6. Step 6: Final answer
    x = 320,080.39

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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.