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Finding the Fourth Proportional to 402,611.60, 603,917.40 and 165,832.40

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Solution

The fourth proportional to 402,611.60, 603,917.40 and 165,832.40 is: 248,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,611.60 : 603,917.40 = 165,832.40 : x
  2. Step 2: Convert to fraction form
    402,611.60/603,917.40 = 165,832.40/x
  3. Step 3: Cross multiply
    402,611.60x = 603,917.40 × 165,832.40
  4. Step 4: Simplify right side
    402,611.60x = 100,149,071,843.76
  5. Step 5: Solve for x
    x = 100,149,071,843.76/402,611.60
  6. Step 6: Final answer
    x = 248,748.60

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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.