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Finding the Fourth Proportional to 317,098.19, 475,013.56 and 190,669.22

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Solution

The fourth proportional to 317,098.19, 475,013.56 and 190,669.22 is: 285,622.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,098.19 : 475,013.56 = 190,669.22 : x
  2. Step 2: Convert to fraction form
    317,098.19/475,013.56 = 190,669.22/x
  3. Step 3: Cross multiply
    317,098.19x = 475,013.56 × 190,669.22
  4. Step 4: Simplify right side
    317,098.19x = 90,570,464,974.62
  5. Step 5: Solve for x
    x = 90,570,464,974.62/317,098.19
  6. Step 6: Final answer
    x = 285,622.77

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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.