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Finding the Fourth Proportional to 294,551.44, 406,410.42 and 173,683.24

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Solution

The fourth proportional to 294,551.44, 406,410.42 and 173,683.24 is: 239,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,551.44 : 406,410.42 = 173,683.24 : x
  2. Step 2: Convert to fraction form
    294,551.44/406,410.42 = 173,683.24/x
  3. Step 3: Cross multiply
    294,551.44x = 406,410.42 × 173,683.24
  4. Step 4: Simplify right side
    294,551.44x = 70,586,678,515.36
  5. Step 5: Solve for x
    x = 70,586,678,515.36/294,551.44
  6. Step 6: Final answer
    x = 239,641.26

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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.