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Finding the Fourth Proportional to 323,905.80, 485,712.90 and 146,321.40

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Solution

The fourth proportional to 323,905.80, 485,712.90 and 146,321.40 is: 219,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,905.80 : 485,712.90 = 146,321.40 : x
  2. Step 2: Convert to fraction form
    323,905.80/485,712.90 = 146,321.40/x
  3. Step 3: Cross multiply
    323,905.80x = 485,712.90 × 146,321.40
  4. Step 4: Simplify right side
    323,905.80x = 71,070,191,526.06
  5. Step 5: Solve for x
    x = 71,070,191,526.06/323,905.80
  6. Step 6: Final answer
    x = 219,416.24

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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.