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Finding the Fourth Proportional to 455,958.60, 683,951.78 and 156,434.98

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Solution

The fourth proportional to 455,958.60, 683,951.78 and 156,434.98 is: 234,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,958.60 : 683,951.78 = 156,434.98 : x
  2. Step 2: Convert to fraction form
    455,958.60/683,951.78 = 156,434.98/x
  3. Step 3: Cross multiply
    455,958.60x = 683,951.78 × 156,434.98
  4. Step 4: Simplify right side
    455,958.60x = 106,993,983,025.26
  5. Step 5: Solve for x
    x = 106,993,983,025.26/455,958.60
  6. Step 6: Final answer
    x = 234,657.23

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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.