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Finding the Fourth Proportional to 293,270, 404,712.60 and 159,134

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Solution

The fourth proportional to 293,270, 404,712.60 and 159,134 is: 219,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,270 : 404,712.60 = 159,134 : x
  2. Step 2: Convert to fraction form
    293,270/404,712.60 = 159,134/x
  3. Step 3: Cross multiply
    293,270x = 404,712.60 × 159,134
  4. Step 4: Simplify right side
    293,270x = 64,403,534,888.40
  5. Step 5: Solve for x
    x = 64,403,534,888.40/293,270
  6. Step 6: Final answer
    x = 219,604.92

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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.