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Finding the Fourth Proportional to 662,111.66, 993,056.31 and 188,684.48

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Solution

The fourth proportional to 662,111.66, 993,056.31 and 188,684.48 is: 282,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,111.66 : 993,056.31 = 188,684.48 : x
  2. Step 2: Convert to fraction form
    662,111.66/993,056.31 = 188,684.48/x
  3. Step 3: Cross multiply
    662,111.66x = 993,056.31 × 188,684.48
  4. Step 4: Simplify right side
    662,111.66x = 187,374,313,463.07
  5. Step 5: Solve for x
    x = 187,374,313,463.07/662,111.66
  6. Step 6: Final answer
    x = 282,995.04

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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.