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Finding the Fourth Proportional to 294,695.91, 406,729.49 and 173,867.13

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Solution

The fourth proportional to 294,695.91, 406,729.49 and 173,867.13 is: 239,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,695.91 : 406,729.49 = 173,867.13 : x
  2. Step 2: Convert to fraction form
    294,695.91/406,729.49 = 173,867.13/x
  3. Step 3: Cross multiply
    294,695.91x = 406,729.49 × 173,867.13
  4. Step 4: Simplify right side
    294,695.91x = 70,716,888,243.33
  5. Step 5: Solve for x
    x = 70,716,888,243.33/294,695.91
  6. Step 6: Final answer
    x = 239,965.63

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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.