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Finding the Fourth Proportional to 662,693, 994,039.50 and 164,057

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Solution

The fourth proportional to 662,693, 994,039.50 and 164,057 is: 246,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,693 : 994,039.50 = 164,057 : x
  2. Step 2: Convert to fraction form
    662,693/994,039.50 = 164,057/x
  3. Step 3: Cross multiply
    662,693x = 994,039.50 × 164,057
  4. Step 4: Simplify right side
    662,693x = 163,079,138,251.50
  5. Step 5: Solve for x
    x = 163,079,138,251.50/662,693
  6. Step 6: Final answer
    x = 246,085.50

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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.