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Finding the Fourth Proportional to 284,003.82, 391,926.60 and 156,679.38

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Solution

The fourth proportional to 284,003.82, 391,926.60 and 156,679.38 is: 216,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,003.82 : 391,926.60 = 156,679.38 : x
  2. Step 2: Convert to fraction form
    284,003.82/391,926.60 = 156,679.38/x
  3. Step 3: Cross multiply
    284,003.82x = 391,926.60 × 156,679.38
  4. Step 4: Simplify right side
    284,003.82x = 61,406,816,693.51
  5. Step 5: Solve for x
    x = 61,406,816,693.51/284,003.82
  6. Step 6: Final answer
    x = 216,218.28

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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.