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Finding the Fourth Proportional to 294,541.72, 441,681.36 and 107,422

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Solution

The fourth proportional to 294,541.72, 441,681.36 and 107,422 is: 161,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,541.72 : 441,681.36 = 107,422 : x
  2. Step 2: Convert to fraction form
    294,541.72/441,681.36 = 107,422/x
  3. Step 3: Cross multiply
    294,541.72x = 441,681.36 × 107,422
  4. Step 4: Simplify right side
    294,541.72x = 47,446,295,053.92
  5. Step 5: Solve for x
    x = 47,446,295,053.92/294,541.72
  6. Step 6: Final answer
    x = 161,085.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.