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Finding the Fourth Proportional to 294,838.42, 406,878.22 and 167,521

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Solution

The fourth proportional to 294,838.42, 406,878.22 and 167,521 is: 231,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,838.42 : 406,878.22 = 167,521 : x
  2. Step 2: Convert to fraction form
    294,838.42/406,878.22 = 167,521/x
  3. Step 3: Cross multiply
    294,838.42x = 406,878.22 × 167,521
  4. Step 4: Simplify right side
    294,838.42x = 68,160,646,292.62
  5. Step 5: Solve for x
    x = 68,160,646,292.62/294,838.42
  6. Step 6: Final answer
    x = 231,179.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.