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Finding the Fourth Proportional to 297,830.92, 446,967.87 and 120,339.47

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Solution

The fourth proportional to 297,830.92, 446,967.87 and 120,339.47 is: 180,598.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,830.92 : 446,967.87 = 120,339.47 : x
  2. Step 2: Convert to fraction form
    297,830.92/446,967.87 = 120,339.47/x
  3. Step 3: Cross multiply
    297,830.92x = 446,967.87 × 120,339.47
  4. Step 4: Simplify right side
    297,830.92x = 53,787,873,746.29
  5. Step 5: Solve for x
    x = 53,787,873,746.29/297,830.92
  6. Step 6: Final answer
    x = 180,598.69

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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.