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Finding the Fourth Proportional to 364,553.49, 547,109.34 and 165,014.01

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Solution

The fourth proportional to 364,553.49, 547,109.34 and 165,014.01 is: 247,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,553.49 : 547,109.34 = 165,014.01 : x
  2. Step 2: Convert to fraction form
    364,553.49/547,109.34 = 165,014.01/x
  3. Step 3: Cross multiply
    364,553.49x = 547,109.34 × 165,014.01
  4. Step 4: Simplify right side
    364,553.49x = 90,280,706,101.85
  5. Step 5: Solve for x
    x = 90,280,706,101.85/364,553.49
  6. Step 6: Final answer
    x = 247,647.35

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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.