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Finding the Fourth Proportional to 382,714.80, 574,003.08 and 146,004.72

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Solution

The fourth proportional to 382,714.80, 574,003.08 and 146,004.72 is: 218,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,714.80 : 574,003.08 = 146,004.72 : x
  2. Step 2: Convert to fraction form
    382,714.80/574,003.08 = 146,004.72/x
  3. Step 3: Cross multiply
    382,714.80x = 574,003.08 × 146,004.72
  4. Step 4: Simplify right side
    382,714.80x = 83,807,158,974.54
  5. Step 5: Solve for x
    x = 83,807,158,974.54/382,714.80
  6. Step 6: Final answer
    x = 218,980.71

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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.