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Finding the Fourth Proportional to 551,777.28, 827,730.48 and 196,841.76

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Solution

The fourth proportional to 551,777.28, 827,730.48 and 196,841.76 is: 295,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,777.28 : 827,730.48 = 196,841.76 : x
  2. Step 2: Convert to fraction form
    551,777.28/827,730.48 = 196,841.76/x
  3. Step 3: Cross multiply
    551,777.28x = 827,730.48 × 196,841.76
  4. Step 4: Simplify right side
    551,777.28x = 162,931,924,488.85
  5. Step 5: Solve for x
    x = 162,931,924,488.85/551,777.28
  6. Step 6: Final answer
    x = 295,285.67

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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.