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Finding the Fourth Proportional to 418,846.50, 577,964.43 and 237,500.46

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Solution

The fourth proportional to 418,846.50, 577,964.43 and 237,500.46 is: 327,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,846.50 : 577,964.43 = 237,500.46 : x
  2. Step 2: Convert to fraction form
    418,846.50/577,964.43 = 237,500.46/x
  3. Step 3: Cross multiply
    418,846.50x = 577,964.43 × 237,500.46
  4. Step 4: Simplify right side
    418,846.50x = 137,266,817,988.64
  5. Step 5: Solve for x
    x = 137,266,817,988.64/418,846.50
  6. Step 6: Final answer
    x = 327,725.83

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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.