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Finding the Fourth Proportional to 433,162.76, 597,524.60 and 251,854.64

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Solution

The fourth proportional to 433,162.76, 597,524.60 and 251,854.64 is: 347,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,162.76 : 597,524.60 = 251,854.64 : x
  2. Step 2: Convert to fraction form
    433,162.76/597,524.60 = 251,854.64/x
  3. Step 3: Cross multiply
    433,162.76x = 597,524.60 × 251,854.64
  4. Step 4: Simplify right side
    433,162.76x = 150,489,343,024.14
  5. Step 5: Solve for x
    x = 150,489,343,024.14/433,162.76
  6. Step 6: Final answer
    x = 347,419.85

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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.