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Finding the Fourth Proportional to 297,873.72, 411,029.10 and 177,017.40

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Solution

The fourth proportional to 297,873.72, 411,029.10 and 177,017.40 is: 244,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,873.72 : 411,029.10 = 177,017.40 : x
  2. Step 2: Convert to fraction form
    297,873.72/411,029.10 = 177,017.40/x
  3. Step 3: Cross multiply
    297,873.72x = 411,029.10 × 177,017.40
  4. Step 4: Simplify right side
    297,873.72x = 72,759,302,606.34
  5. Step 5: Solve for x
    x = 72,759,302,606.34/297,873.72
  6. Step 6: Final answer
    x = 244,262.24

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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.