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Finding the Fourth Proportional to 293,362.40, 440,216.40 and 106,349.60

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Solution

The fourth proportional to 293,362.40, 440,216.40 and 106,349.60 is: 159,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,362.40 : 440,216.40 = 106,349.60 : x
  2. Step 2: Convert to fraction form
    293,362.40/440,216.40 = 106,349.60/x
  3. Step 3: Cross multiply
    293,362.40x = 440,216.40 × 106,349.60
  4. Step 4: Simplify right side
    293,362.40x = 46,816,838,053.44
  5. Step 5: Solve for x
    x = 46,816,838,053.44/293,362.40
  6. Step 6: Final answer
    x = 159,587.04

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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.