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Finding the Fourth Proportional to 331,656.32, 457,701.96 and 186,507.79

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Solution

The fourth proportional to 331,656.32, 457,701.96 and 186,507.79 is: 257,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,656.32 : 457,701.96 = 186,507.79 : x
  2. Step 2: Convert to fraction form
    331,656.32/457,701.96 = 186,507.79/x
  3. Step 3: Cross multiply
    331,656.32x = 457,701.96 × 186,507.79
  4. Step 4: Simplify right side
    331,656.32x = 85,364,980,593.42
  5. Step 5: Solve for x
    x = 85,364,980,593.42/331,656.32
  6. Step 6: Final answer
    x = 257,389.88

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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.