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Finding the Fourth Proportional to 297,977.70, 411,207.80 and 175,541.16

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Solution

The fourth proportional to 297,977.70, 411,207.80 and 175,541.16 is: 242,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,977.70 : 411,207.80 = 175,541.16 : x
  2. Step 2: Convert to fraction form
    297,977.70/411,207.80 = 175,541.16/x
  3. Step 3: Cross multiply
    297,977.70x = 411,207.80 × 175,541.16
  4. Step 4: Simplify right side
    297,977.70x = 72,183,894,213.05
  5. Step 5: Solve for x
    x = 72,183,894,213.05/297,977.70
  6. Step 6: Final answer
    x = 242,245.96

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Why These Related Problems?

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