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Finding the Fourth Proportional to 317,282.41, 475,686.89 and 190,893.05

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Solution

The fourth proportional to 317,282.41, 475,686.89 and 190,893.05 is: 286,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,282.41 : 475,686.89 = 190,893.05 : x
  2. Step 2: Convert to fraction form
    317,282.41/475,686.89 = 190,893.05/x
  3. Step 3: Cross multiply
    317,282.41x = 475,686.89 × 190,893.05
  4. Step 4: Simplify right side
    317,282.41x = 90,805,317,944.21
  5. Step 5: Solve for x
    x = 90,805,317,944.21/317,282.41
  6. Step 6: Final answer
    x = 286,197.14

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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.