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Finding the Fourth Proportional to 302,874.60, 454,311.90 and 232,015.80

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Solution

The fourth proportional to 302,874.60, 454,311.90 and 232,015.80 is: 348,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,874.60 : 454,311.90 = 232,015.80 : x
  2. Step 2: Convert to fraction form
    302,874.60/454,311.90 = 232,015.80/x
  3. Step 3: Cross multiply
    302,874.60x = 454,311.90 × 232,015.80
  4. Step 4: Simplify right side
    302,874.60x = 105,407,538,928.02
  5. Step 5: Solve for x
    x = 105,407,538,928.02/302,874.60
  6. Step 6: Final answer
    x = 348,023.70

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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.