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Finding the Fourth Proportional to 414,092.50, 571,453.53 and 232,794.30

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Solution

The fourth proportional to 414,092.50, 571,453.53 and 232,794.30 is: 321,259.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,092.50 : 571,453.53 = 232,794.30 : x
  2. Step 2: Convert to fraction form
    414,092.50/571,453.53 = 232,794.30/x
  3. Step 3: Cross multiply
    414,092.50x = 571,453.53 × 232,794.30
  4. Step 4: Simplify right side
    414,092.50x = 133,031,127,078.32
  5. Step 5: Solve for x
    x = 133,031,127,078.32/414,092.50
  6. Step 6: Final answer
    x = 321,259.44

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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.