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Finding the Fourth Proportional to 494,325.42, 741,488.13 and 157,364.61

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Solution

The fourth proportional to 494,325.42, 741,488.13 and 157,364.61 is: 236,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,325.42 : 741,488.13 = 157,364.61 : x
  2. Step 2: Convert to fraction form
    494,325.42/741,488.13 = 157,364.61/x
  3. Step 3: Cross multiply
    494,325.42x = 741,488.13 × 157,364.61
  4. Step 4: Simplify right side
    494,325.42x = 116,683,990,397.08
  5. Step 5: Solve for x
    x = 116,683,990,397.08/494,325.42
  6. Step 6: Final answer
    x = 236,046.92

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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.