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Finding the Fourth Proportional to 288,466.50, 398,107.02 and 159,416.32

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Solution

The fourth proportional to 288,466.50, 398,107.02 and 159,416.32 is: 220,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,466.50 : 398,107.02 = 159,416.32 : x
  2. Step 2: Convert to fraction form
    288,466.50/398,107.02 = 159,416.32/x
  3. Step 3: Cross multiply
    288,466.50x = 398,107.02 × 159,416.32
  4. Step 4: Simplify right side
    288,466.50x = 63,464,756,094.57
  5. Step 5: Solve for x
    x = 63,464,756,094.57/288,466.50
  6. Step 6: Final answer
    x = 220,007.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.