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Finding the Fourth Proportional to 409,932.08, 565,553.78 and 237,753.50

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Solution

The fourth proportional to 409,932.08, 565,553.78 and 237,753.50 is: 328,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,932.08 : 565,553.78 = 237,753.50 : x
  2. Step 2: Convert to fraction form
    409,932.08/565,553.78 = 237,753.50/x
  3. Step 3: Cross multiply
    409,932.08x = 565,553.78 × 237,753.50
  4. Step 4: Simplify right side
    409,932.08x = 134,462,390,633.23
  5. Step 5: Solve for x
    x = 134,462,390,633.23/409,932.08
  6. Step 6: Final answer
    x = 328,011.39

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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.