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Finding the Fourth Proportional to 475,657.53, 713,410.32 and 138,619.33

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Solution

The fourth proportional to 475,657.53, 713,410.32 and 138,619.33 is: 207,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,657.53 : 713,410.32 = 138,619.33 : x
  2. Step 2: Convert to fraction form
    475,657.53/713,410.32 = 138,619.33/x
  3. Step 3: Cross multiply
    475,657.53x = 713,410.32 × 138,619.33
  4. Step 4: Simplify right side
    475,657.53x = 98,892,462,542.98
  5. Step 5: Solve for x
    x = 98,892,462,542.98/475,657.53
  6. Step 6: Final answer
    x = 207,906.86

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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.