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Finding the Fourth Proportional to 294,800.72, 406,709.52 and 181,426.64

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Solution

The fourth proportional to 294,800.72, 406,709.52 and 181,426.64 is: 250,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,800.72 : 406,709.52 = 181,426.64 : x
  2. Step 2: Convert to fraction form
    294,800.72/406,709.52 = 181,426.64/x
  3. Step 3: Cross multiply
    294,800.72x = 406,709.52 × 181,426.64
  4. Step 4: Simplify right side
    294,800.72x = 73,787,941,669.61
  5. Step 5: Solve for x
    x = 73,787,941,669.61/294,800.72
  6. Step 6: Final answer
    x = 250,297.70

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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.