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Finding the Fourth Proportional to 293,049, 404,407.62 and 158,913

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Solution

The fourth proportional to 293,049, 404,407.62 and 158,913 is: 219,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,049 : 404,407.62 = 158,913 : x
  2. Step 2: Convert to fraction form
    293,049/404,407.62 = 158,913/x
  3. Step 3: Cross multiply
    293,049x = 404,407.62 × 158,913
  4. Step 4: Simplify right side
    293,049x = 64,265,628,117.06
  5. Step 5: Solve for x
    x = 64,265,628,117.06/293,049
  6. Step 6: Final answer
    x = 219,299.94

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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.