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Finding the Fourth Proportional to 364,031.94, 546,049.14 and 111,311.46

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Solution

The fourth proportional to 364,031.94, 546,049.14 and 111,311.46 is: 166,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,031.94 : 546,049.14 = 111,311.46 : x
  2. Step 2: Convert to fraction form
    364,031.94/546,049.14 = 111,311.46/x
  3. Step 3: Cross multiply
    364,031.94x = 546,049.14 × 111,311.46
  4. Step 4: Simplify right side
    364,031.94x = 60,781,527,005.14
  5. Step 5: Solve for x
    x = 60,781,527,005.14/364,031.94
  6. Step 6: Final answer
    x = 166,967.57

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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.