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Finding the Fourth Proportional to 464,220, 696,370.50 and 131,796

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Solution

The fourth proportional to 464,220, 696,370.50 and 131,796 is: 197,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,220 : 696,370.50 = 131,796 : x
  2. Step 2: Convert to fraction form
    464,220/696,370.50 = 131,796/x
  3. Step 3: Cross multiply
    464,220x = 696,370.50 × 131,796
  4. Step 4: Simplify right side
    464,220x = 91,778,846,418
  5. Step 5: Solve for x
    x = 91,778,846,418/464,220
  6. Step 6: Final answer
    x = 197,705.50

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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.