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Finding the Fourth Proportional to 297,498.90, 446,335.84 and 119,914.50

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Solution

The fourth proportional to 297,498.90, 446,335.84 and 119,914.50 is: 179,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,498.90 : 446,335.84 = 119,914.50 : x
  2. Step 2: Convert to fraction form
    297,498.90/446,335.84 = 119,914.50/x
  3. Step 3: Cross multiply
    297,498.90x = 446,335.84 × 119,914.50
  4. Step 4: Simplify right side
    297,498.90x = 53,522,139,085.68
  5. Step 5: Solve for x
    x = 53,522,139,085.68/297,498.90
  6. Step 6: Final answer
    x = 179,907.02

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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.