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Finding the Fourth Proportional to 364,822.60, 547,233.90 and 299,212.60

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Solution

The fourth proportional to 364,822.60, 547,233.90 and 299,212.60 is: 448,818.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,822.60 : 547,233.90 = 299,212.60 : x
  2. Step 2: Convert to fraction form
    364,822.60/547,233.90 = 299,212.60/x
  3. Step 3: Cross multiply
    364,822.60x = 547,233.90 × 299,212.60
  4. Step 4: Simplify right side
    364,822.60x = 163,739,278,027.14
  5. Step 5: Solve for x
    x = 163,739,278,027.14/364,822.60
  6. Step 6: Final answer
    x = 448,818.90

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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.