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Finding the Fourth Proportional to 475,188.36, 713,063.22 and 175,879.20

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Solution

The fourth proportional to 475,188.36, 713,063.22 and 175,879.20 is: 263,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,188.36 : 713,063.22 = 175,879.20 : x
  2. Step 2: Convert to fraction form
    475,188.36/713,063.22 = 175,879.20/x
  3. Step 3: Cross multiply
    475,188.36x = 713,063.22 × 175,879.20
  4. Step 4: Simplify right side
    475,188.36x = 125,412,988,683.02
  5. Step 5: Solve for x
    x = 125,412,988,683.02/475,188.36
  6. Step 6: Final answer
    x = 263,922.69

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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.