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Finding the Fourth Proportional to 323,825.10, 485,622.45 and 146,417.10

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Solution

The fourth proportional to 323,825.10, 485,622.45 and 146,417.10 is: 219,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,825.10 : 485,622.45 = 146,417.10 : x
  2. Step 2: Convert to fraction form
    323,825.10/485,622.45 = 146,417.10/x
  3. Step 3: Cross multiply
    323,825.10x = 485,622.45 × 146,417.10
  4. Step 4: Simplify right side
    323,825.10x = 71,103,430,823.90
  5. Step 5: Solve for x
    x = 71,103,430,823.90/323,825.10
  6. Step 6: Final answer
    x = 219,573.56

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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.