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Finding the Fourth Proportional to 501,864.78, 752,818.14 and 146,878.86

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Solution

The fourth proportional to 501,864.78, 752,818.14 and 146,878.86 is: 220,324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,864.78 : 752,818.14 = 146,878.86 : x
  2. Step 2: Convert to fraction form
    501,864.78/752,818.14 = 146,878.86/x
  3. Step 3: Cross multiply
    501,864.78x = 752,818.14 × 146,878.86
  4. Step 4: Simplify right side
    501,864.78x = 110,573,070,190.52
  5. Step 5: Solve for x
    x = 110,573,070,190.52/501,864.78
  6. Step 6: Final answer
    x = 220,324.43

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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.