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Finding the Fourth Proportional to 496,272.71, 744,655.10 and 196,746.66

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Solution

The fourth proportional to 496,272.71, 744,655.10 and 196,746.66 is: 295,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,272.71 : 744,655.10 = 196,746.66 : x
  2. Step 2: Convert to fraction form
    496,272.71/744,655.10 = 196,746.66/x
  3. Step 3: Cross multiply
    496,272.71x = 744,655.10 × 196,746.66
  4. Step 4: Simplify right side
    496,272.71x = 146,508,402,793.23
  5. Step 5: Solve for x
    x = 146,508,402,793.23/496,272.71
  6. Step 6: Final answer
    x = 295,217.53

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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.