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Finding the Fourth Proportional to 662,710, 994,065 and 164,074

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Solution

The fourth proportional to 662,710, 994,065 and 164,074 is: 246,111

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,710 : 994,065 = 164,074 : x
  2. Step 2: Convert to fraction form
    662,710/994,065 = 164,074/x
  3. Step 3: Cross multiply
    662,710x = 994,065 × 164,074
  4. Step 4: Simplify right side
    662,710x = 163,100,220,810
  5. Step 5: Solve for x
    x = 163,100,220,810/662,710
  6. Step 6: Final answer
    x = 246,111

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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.