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Finding the Fourth Proportional to 289,677.18, 434,635.80 and 156,400.77

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Solution

The fourth proportional to 289,677.18, 434,635.80 and 156,400.77 is: 234,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,677.18 : 434,635.80 = 156,400.77 : x
  2. Step 2: Convert to fraction form
    289,677.18/434,635.80 = 156,400.77/x
  3. Step 3: Cross multiply
    289,677.18x = 434,635.80 × 156,400.77
  4. Step 4: Simplify right side
    289,677.18x = 67,977,373,789.57
  5. Step 5: Solve for x
    x = 67,977,373,789.57/289,677.18
  6. Step 6: Final answer
    x = 234,665.96

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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.