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Finding the Fourth Proportional to 294,822.40, 442,136.40 and 107,809.60

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Solution

The fourth proportional to 294,822.40, 442,136.40 and 107,809.60 is: 161,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,822.40 : 442,136.40 = 107,809.60 : x
  2. Step 2: Convert to fraction form
    294,822.40/442,136.40 = 107,809.60/x
  3. Step 3: Cross multiply
    294,822.40x = 442,136.40 × 107,809.60
  4. Step 4: Simplify right side
    294,822.40x = 47,666,548,429.44
  5. Step 5: Solve for x
    x = 47,666,548,429.44/294,822.40
  6. Step 6: Final answer
    x = 161,678.86

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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.