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Finding the Fourth Proportional to 497,796.40, 746,627.40 and 198,497.20

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Solution

The fourth proportional to 497,796.40, 746,627.40 and 198,497.20 is: 297,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,796.40 : 746,627.40 = 198,497.20 : x
  2. Step 2: Convert to fraction form
    497,796.40/746,627.40 = 198,497.20/x
  3. Step 3: Cross multiply
    497,796.40x = 746,627.40 × 198,497.20
  4. Step 4: Simplify right side
    497,796.40x = 148,203,448,343.28
  5. Step 5: Solve for x
    x = 148,203,448,343.28/497,796.40
  6. Step 6: Final answer
    x = 297,719.00

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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.