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Finding the Fourth Proportional to 494,855.64, 741,920.04 and 157,702.32

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Solution

The fourth proportional to 494,855.64, 741,920.04 and 157,702.32 is: 236,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,855.64 : 741,920.04 = 157,702.32 : x
  2. Step 2: Convert to fraction form
    494,855.64/741,920.04 = 157,702.32/x
  3. Step 3: Cross multiply
    494,855.64x = 741,920.04 × 157,702.32
  4. Step 4: Simplify right side
    494,855.64x = 117,002,511,562.49
  5. Step 5: Solve for x
    x = 117,002,511,562.49/494,855.64
  6. Step 6: Final answer
    x = 236,437.66

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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.