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Finding the Fourth Proportional to 413,282.49, 619,331.71 and 235,422.24

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Solution

The fourth proportional to 413,282.49, 619,331.71 and 235,422.24 is: 352,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,282.49 : 619,331.71 = 235,422.24 : x
  2. Step 2: Convert to fraction form
    413,282.49/619,331.71 = 235,422.24/x
  3. Step 3: Cross multiply
    413,282.49x = 619,331.71 × 235,422.24
  4. Step 4: Simplify right side
    413,282.49x = 145,804,458,471.23
  5. Step 5: Solve for x
    x = 145,804,458,471.23/413,282.49
  6. Step 6: Final answer
    x = 352,796.12

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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.