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Finding the Fourth Proportional to 509,760.28, 763,590.48 and 298,889.76

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Solution

The fourth proportional to 509,760.28, 763,590.48 and 298,889.76 is: 447,719.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,760.28 : 763,590.48 = 298,889.76 : x
  2. Step 2: Convert to fraction form
    509,760.28/763,590.48 = 298,889.76/x
  3. Step 3: Cross multiply
    509,760.28x = 763,590.48 × 298,889.76
  4. Step 4: Simplify right side
    509,760.28x = 228,229,375,305.49
  5. Step 5: Solve for x
    x = 228,229,375,305.49/509,760.28
  6. Step 6: Final answer
    x = 447,719.02

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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.