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Finding the Fourth Proportional to 298,285.92, 411,715.44 and 175,885.20

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Solution

The fourth proportional to 298,285.92, 411,715.44 and 175,885.20 is: 242,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.92 : 411,715.44 = 175,885.20 : x
  2. Step 2: Convert to fraction form
    298,285.92/411,715.44 = 175,885.20/x
  3. Step 3: Cross multiply
    298,285.92x = 411,715.44 × 175,885.20
  4. Step 4: Simplify right side
    298,285.92x = 72,414,652,507.49
  5. Step 5: Solve for x
    x = 72,414,652,507.49/298,285.92
  6. Step 6: Final answer
    x = 242,769.26

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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.