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Finding the Fourth Proportional to 297,294.66, 446,066.97 and 185,068.77

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Solution

The fourth proportional to 297,294.66, 446,066.97 and 185,068.77 is: 277,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,294.66 : 446,066.97 = 185,068.77 : x
  2. Step 2: Convert to fraction form
    297,294.66/446,066.97 = 185,068.77/x
  3. Step 3: Cross multiply
    297,294.66x = 446,066.97 × 185,068.77
  4. Step 4: Simplify right side
    297,294.66x = 82,553,065,475.53
  5. Step 5: Solve for x
    x = 82,553,065,475.53/297,294.66
  6. Step 6: Final answer
    x = 277,680.96

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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.