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Finding the Fourth Proportional to 293,551.60, 405,225.24 and 198,187.48

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Solution

The fourth proportional to 293,551.60, 405,225.24 and 198,187.48 is: 273,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,551.60 : 405,225.24 = 198,187.48 : x
  2. Step 2: Convert to fraction form
    293,551.60/405,225.24 = 198,187.48/x
  3. Step 3: Cross multiply
    293,551.60x = 405,225.24 × 198,187.48
  4. Step 4: Simplify right side
    293,551.60x = 80,310,569,148.00
  5. Step 5: Solve for x
    x = 80,310,569,148.00/293,551.60
  6. Step 6: Final answer
    x = 273,582.46

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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.