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Finding the Fourth Proportional to 418,714.62, 577,828.91 and 227,729.40

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Solution

The fourth proportional to 418,714.62, 577,828.91 and 227,729.40 is: 314,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,714.62 : 577,828.91 = 227,729.40 : x
  2. Step 2: Convert to fraction form
    418,714.62/577,828.91 = 227,729.40/x
  3. Step 3: Cross multiply
    418,714.62x = 577,828.91 × 227,729.40
  4. Step 4: Simplify right side
    418,714.62x = 131,588,629,838.31
  5. Step 5: Solve for x
    x = 131,588,629,838.31/418,714.62
  6. Step 6: Final answer
    x = 314,268.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.