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Finding the Fourth Proportional to 409,957.20, 565,741.53 and 228,680.82

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Solution

The fourth proportional to 409,957.20, 565,741.53 and 228,680.82 is: 315,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,957.20 : 565,741.53 = 228,680.82 : x
  2. Step 2: Convert to fraction form
    409,957.20/565,741.53 = 228,680.82/x
  3. Step 3: Cross multiply
    409,957.20x = 565,741.53 × 228,680.82
  4. Step 4: Simplify right side
    409,957.20x = 129,374,236,988.46
  5. Step 5: Solve for x
    x = 129,374,236,988.46/409,957.20
  6. Step 6: Final answer
    x = 315,579.86

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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.