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Finding the Fourth Proportional to 496,807.20, 744,846.30 and 197,139.60

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Solution

The fourth proportional to 496,807.20, 744,846.30 and 197,139.60 is: 295,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,807.20 : 744,846.30 = 197,139.60 : x
  2. Step 2: Convert to fraction form
    496,807.20/744,846.30 = 197,139.60/x
  3. Step 3: Cross multiply
    496,807.20x = 744,846.30 × 197,139.60
  4. Step 4: Simplify right side
    496,807.20x = 146,838,701,643.48
  5. Step 5: Solve for x
    x = 146,838,701,643.48/496,807.20
  6. Step 6: Final answer
    x = 295,564.76

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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.