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Finding the Fourth Proportional to 295,601.34, 407,929.85 and 159,635.30

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Solution

The fourth proportional to 295,601.34, 407,929.85 and 159,635.30 is: 220,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,601.34 : 407,929.85 = 159,635.30 : x
  2. Step 2: Convert to fraction form
    295,601.34/407,929.85 = 159,635.30/x
  3. Step 3: Cross multiply
    295,601.34x = 407,929.85 × 159,635.30
  4. Step 4: Simplify right side
    295,601.34x = 65,120,001,145.88
  5. Step 5: Solve for x
    x = 65,120,001,145.88/295,601.34
  6. Step 6: Final answer
    x = 220,296.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.