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Finding the Fourth Proportional to 293,427.16, 404,929.74 and 159,291.16

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Solution

The fourth proportional to 293,427.16, 404,929.74 and 159,291.16 is: 219,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,427.16 : 404,929.74 = 159,291.16 : x
  2. Step 2: Convert to fraction form
    293,427.16/404,929.74 = 159,291.16/x
  3. Step 3: Cross multiply
    293,427.16x = 404,929.74 × 159,291.16
  4. Step 4: Simplify right side
    293,427.16x = 64,501,728,003.10
  5. Step 5: Solve for x
    x = 64,501,728,003.10/293,427.16
  6. Step 6: Final answer
    x = 219,821.94

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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.