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Finding the Fourth Proportional to 298,641, 412,124.58 and 164,505

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Solution

The fourth proportional to 298,641, 412,124.58 and 164,505 is: 227,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,641 : 412,124.58 = 164,505 : x
  2. Step 2: Convert to fraction form
    298,641/412,124.58 = 164,505/x
  3. Step 3: Cross multiply
    298,641x = 412,124.58 × 164,505
  4. Step 4: Simplify right side
    298,641x = 67,796,554,032.90
  5. Step 5: Solve for x
    x = 67,796,554,032.90/298,641
  6. Step 6: Final answer
    x = 227,016.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.