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Finding the Fourth Proportional to 422,595.96, 633,923.10 and 156,350.58

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Solution

The fourth proportional to 422,595.96, 633,923.10 and 156,350.58 is: 234,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,595.96 : 633,923.10 = 156,350.58 : x
  2. Step 2: Convert to fraction form
    422,595.96/633,923.10 = 156,350.58/x
  3. Step 3: Cross multiply
    422,595.96x = 633,923.10 × 156,350.58
  4. Step 4: Simplify right side
    422,595.96x = 99,114,244,360.40
  5. Step 5: Solve for x
    x = 99,114,244,360.40/422,595.96
  6. Step 6: Final answer
    x = 234,536.66

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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.