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Finding the Fourth Proportional to 418,714.42, 577,809.30 and 227,727.76

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Solution

The fourth proportional to 418,714.42, 577,809.30 and 227,727.76 is: 314,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,714.42 : 577,809.30 = 227,727.76 : x
  2. Step 2: Convert to fraction form
    418,714.42/577,809.30 = 227,727.76/x
  3. Step 3: Cross multiply
    418,714.42x = 577,809.30 × 227,727.76
  4. Step 4: Simplify right side
    418,714.42x = 131,583,217,596.17
  5. Step 5: Solve for x
    x = 131,583,217,596.17/418,714.42
  6. Step 6: Final answer
    x = 314,255.28

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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.