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Finding the Fourth Proportional to 504,551.86, 755,971.34 and 304,451.78

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Solution

The fourth proportional to 504,551.86, 755,971.34 and 304,451.78 is: 456,160.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,551.86 : 755,971.34 = 304,451.78 : x
  2. Step 2: Convert to fraction form
    504,551.86/755,971.34 = 304,451.78/x
  3. Step 3: Cross multiply
    504,551.86x = 755,971.34 × 304,451.78
  4. Step 4: Simplify right side
    504,551.86x = 230,156,814,789.87
  5. Step 5: Solve for x
    x = 230,156,814,789.87/504,551.86
  6. Step 6: Final answer
    x = 456,160.87

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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.