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Finding the Fourth Proportional to 462,083.20, 693,246.30 and 146,539.60

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Solution

The fourth proportional to 462,083.20, 693,246.30 and 146,539.60 is: 219,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,083.20 : 693,246.30 = 146,539.60 : x
  2. Step 2: Convert to fraction form
    462,083.20/693,246.30 = 146,539.60/x
  3. Step 3: Cross multiply
    462,083.20x = 693,246.30 × 146,539.60
  4. Step 4: Simplify right side
    462,083.20x = 101,588,035,503.48
  5. Step 5: Solve for x
    x = 101,588,035,503.48/462,083.20
  6. Step 6: Final answer
    x = 219,847.93

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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.