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Finding the Fourth Proportional to 662,712, 994,068 and 164,076

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Solution

The fourth proportional to 662,712, 994,068 and 164,076 is: 246,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,712 : 994,068 = 164,076 : x
  2. Step 2: Convert to fraction form
    662,712/994,068 = 164,076/x
  3. Step 3: Cross multiply
    662,712x = 994,068 × 164,076
  4. Step 4: Simplify right side
    662,712x = 163,102,701,168
  5. Step 5: Solve for x
    x = 163,102,701,168/662,712
  6. Step 6: Final answer
    x = 246,114

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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.