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Finding the Fourth Proportional to 297,695.80, 446,592.90 and 137,931.40

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Solution

The fourth proportional to 297,695.80, 446,592.90 and 137,931.40 is: 206,919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,695.80 : 446,592.90 = 137,931.40 : x
  2. Step 2: Convert to fraction form
    297,695.80/446,592.90 = 137,931.40/x
  3. Step 3: Cross multiply
    297,695.80x = 446,592.90 × 137,931.40
  4. Step 4: Simplify right side
    297,695.80x = 61,599,183,927.06
  5. Step 5: Solve for x
    x = 61,599,183,927.06/297,695.80
  6. Step 6: Final answer
    x = 206,919.90

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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.