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Finding the Fourth Proportional to 455,948.60, 684,311.70 and 203,617.40

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Solution

The fourth proportional to 455,948.60, 684,311.70 and 203,617.40 is: 305,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,948.60 : 684,311.70 = 203,617.40 : x
  2. Step 2: Convert to fraction form
    455,948.60/684,311.70 = 203,617.40/x
  3. Step 3: Cross multiply
    455,948.60x = 684,311.70 × 203,617.40
  4. Step 4: Simplify right side
    455,948.60x = 139,337,769,143.58
  5. Step 5: Solve for x
    x = 139,337,769,143.58/455,948.60
  6. Step 6: Final answer
    x = 305,599.73

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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.