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Finding the Fourth Proportional to 294,357.32, 441,601.82 and 107,368.82

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Solution

The fourth proportional to 294,357.32, 441,601.82 and 107,368.82 is: 161,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,357.32 : 441,601.82 = 107,368.82 : x
  2. Step 2: Convert to fraction form
    294,357.32/441,601.82 = 107,368.82/x
  3. Step 3: Cross multiply
    294,357.32x = 441,601.82 × 107,368.82
  4. Step 4: Simplify right side
    294,357.32x = 47,414,266,323.25
  5. Step 5: Solve for x
    x = 47,414,266,323.25/294,357.32
  6. Step 6: Final answer
    x = 161,077.25

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Why These Related Problems?

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