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Finding the Fourth Proportional to 577,434.14, 866,404.41 and 274,047.42

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Solution

The fourth proportional to 577,434.14, 866,404.41 and 274,047.42 is: 411,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,434.14 : 866,404.41 = 274,047.42 : x
  2. Step 2: Convert to fraction form
    577,434.14/866,404.41 = 274,047.42/x
  3. Step 3: Cross multiply
    577,434.14x = 866,404.41 × 274,047.42
  4. Step 4: Simplify right side
    577,434.14x = 237,435,893,237.12
  5. Step 5: Solve for x
    x = 237,435,893,237.12/577,434.14
  6. Step 6: Final answer
    x = 411,191.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.