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Finding the Fourth Proportional to 348,305, 522,020.22 and 188,374.56

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Solution

The fourth proportional to 348,305, 522,020.22 and 188,374.56 is: 282,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,305 : 522,020.22 = 188,374.56 : x
  2. Step 2: Convert to fraction form
    348,305/522,020.22 = 188,374.56/x
  3. Step 3: Cross multiply
    348,305x = 522,020.22 × 188,374.56
  4. Step 4: Simplify right side
    348,305x = 98,335,329,253.60
  5. Step 5: Solve for x
    x = 98,335,329,253.60/348,305
  6. Step 6: Final answer
    x = 282,325.34

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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.