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Finding the Fourth Proportional to 294,558.86, 406,476.74 and 167,217.74

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Solution

The fourth proportional to 294,558.86, 406,476.74 and 167,217.74 is: 230,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,558.86 : 406,476.74 = 167,217.74 : x
  2. Step 2: Convert to fraction form
    294,558.86/406,476.74 = 167,217.74/x
  3. Step 3: Cross multiply
    294,558.86x = 406,476.74 × 167,217.74
  4. Step 4: Simplify right side
    294,558.86x = 67,970,121,825.37
  5. Step 5: Solve for x
    x = 67,970,121,825.37/294,558.86
  6. Step 6: Final answer
    x = 230,752.26

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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.