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Finding the Fourth Proportional to 297,885.51, 447,146.60 and 120,508.47

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Solution

The fourth proportional to 297,885.51, 447,146.60 and 120,508.47 is: 180,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,885.51 : 447,146.60 = 120,508.47 : x
  2. Step 2: Convert to fraction form
    297,885.51/447,146.60 = 120,508.47/x
  3. Step 3: Cross multiply
    297,885.51x = 447,146.60 × 120,508.47
  4. Step 4: Simplify right side
    297,885.51x = 53,884,952,029.16
  5. Step 5: Solve for x
    x = 53,884,952,029.16/297,885.51
  6. Step 6: Final answer
    x = 180,891.48

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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.