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Finding the Fourth Proportional to 294,617.38, 406,574.76 and 167,295.64

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Solution

The fourth proportional to 294,617.38, 406,574.76 and 167,295.64 is: 230,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,617.38 : 406,574.76 = 167,295.64 : x
  2. Step 2: Convert to fraction form
    294,617.38/406,574.76 = 167,295.64/x
  3. Step 3: Cross multiply
    294,617.38x = 406,574.76 × 167,295.64
  4. Step 4: Simplify right side
    294,617.38x = 68,018,184,682.05
  5. Step 5: Solve for x
    x = 68,018,184,682.05/294,617.38
  6. Step 6: Final answer
    x = 230,869.56

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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.