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Finding the Fourth Proportional to 297,967.40, 446,951.10 and 297,967.40

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Solution

The fourth proportional to 297,967.40, 446,951.10 and 297,967.40 is: 446,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,967.40 : 446,951.10 = 297,967.40 : x
  2. Step 2: Convert to fraction form
    297,967.40/446,951.10 = 297,967.40/x
  3. Step 3: Cross multiply
    297,967.40x = 446,951.10 × 297,967.40
  4. Step 4: Simplify right side
    297,967.40x = 133,176,857,194.14
  5. Step 5: Solve for x
    x = 133,176,857,194.14/297,967.40
  6. Step 6: Final answer
    x = 446,951.10

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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.