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Finding the Fourth Proportional to 462,505.76, 693,766.32 and 162,989.96

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Solution

The fourth proportional to 462,505.76, 693,766.32 and 162,989.96 is: 244,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,505.76 : 693,766.32 = 162,989.96 : x
  2. Step 2: Convert to fraction form
    462,505.76/693,766.32 = 162,989.96/x
  3. Step 3: Cross multiply
    462,505.76x = 693,766.32 × 162,989.96
  4. Step 4: Simplify right side
    462,505.76x = 113,076,944,746.15
  5. Step 5: Solve for x
    x = 113,076,944,746.15/462,505.76
  6. Step 6: Final answer
    x = 244,487.65

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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.