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Finding the Fourth Proportional to 498,819.60, 748,297.12 and 161,750.32

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Solution

The fourth proportional to 498,819.60, 748,297.12 and 161,750.32 is: 242,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,819.60 : 748,297.12 = 161,750.32 : x
  2. Step 2: Convert to fraction form
    498,819.60/748,297.12 = 161,750.32/x
  3. Step 3: Cross multiply
    498,819.60x = 748,297.12 × 161,750.32
  4. Step 4: Simplify right side
    498,819.60x = 121,037,298,615.08
  5. Step 5: Solve for x
    x = 121,037,298,615.08/498,819.60
  6. Step 6: Final answer
    x = 242,647.44

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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.