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Finding the Fourth Proportional to 449,920.40, 674,783.40 and 197,200.40

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Solution

The fourth proportional to 449,920.40, 674,783.40 and 197,200.40 is: 295,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,920.40 : 674,783.40 = 197,200.40 : x
  2. Step 2: Convert to fraction form
    449,920.40/674,783.40 = 197,200.40/x
  3. Step 3: Cross multiply
    449,920.40x = 674,783.40 × 197,200.40
  4. Step 4: Simplify right side
    449,920.40x = 133,067,556,393.36
  5. Step 5: Solve for x
    x = 133,067,556,393.36/449,920.40
  6. Step 6: Final answer
    x = 295,758.00

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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.