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Finding the Fourth Proportional to 297,497.90, 446,334.33 and 119,913.50

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Solution

The fourth proportional to 297,497.90, 446,334.33 and 119,913.50 is: 179,905.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,497.90 : 446,334.33 = 119,913.50 : x
  2. Step 2: Convert to fraction form
    297,497.90/446,334.33 = 119,913.50/x
  3. Step 3: Cross multiply
    297,497.90x = 446,334.33 × 119,913.50
  4. Step 4: Simplify right side
    297,497.90x = 53,521,511,680.46
  5. Step 5: Solve for x
    x = 53,521,511,680.46/297,497.90
  6. Step 6: Final answer
    x = 179,905.51

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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.