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Finding the Fourth Proportional to 296,206.79, 408,767.40 and 181,485.68

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Solution

The fourth proportional to 296,206.79, 408,767.40 and 181,485.68 is: 250,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,206.79 : 408,767.40 = 181,485.68 : x
  2. Step 2: Convert to fraction form
    296,206.79/408,767.40 = 181,485.68/x
  3. Step 3: Cross multiply
    296,206.79x = 408,767.40 × 181,485.68
  4. Step 4: Simplify right side
    296,206.79x = 74,185,427,507.00
  5. Step 5: Solve for x
    x = 74,185,427,507.00/296,206.79
  6. Step 6: Final answer
    x = 250,451.48

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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.