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Finding the Fourth Proportional to 414,071.70, 571,405.65 and 232,791.24

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Solution

The fourth proportional to 414,071.70, 571,405.65 and 232,791.24 is: 321,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,071.70 : 571,405.65 = 232,791.24 : x
  2. Step 2: Convert to fraction form
    414,071.70/571,405.65 = 232,791.24/x
  3. Step 3: Cross multiply
    414,071.70x = 571,405.65 × 232,791.24
  4. Step 4: Simplify right side
    414,071.70x = 133,018,229,806.51
  5. Step 5: Solve for x
    x = 133,018,229,806.51/414,071.70
  6. Step 6: Final answer
    x = 321,244.44

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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.