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Finding the Fourth Proportional to 494,834.04, 741,590.10 and 257,679.48

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Solution

The fourth proportional to 494,834.04, 741,590.10 and 257,679.48 is: 386,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,834.04 : 741,590.10 = 257,679.48 : x
  2. Step 2: Convert to fraction form
    494,834.04/741,590.10 = 257,679.48/x
  3. Step 3: Cross multiply
    494,834.04x = 741,590.10 × 257,679.48
  4. Step 4: Simplify right side
    494,834.04x = 191,092,551,341.15
  5. Step 5: Solve for x
    x = 191,092,551,341.15/494,834.04
  6. Step 6: Final answer
    x = 386,175.03

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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.