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Finding the Fourth Proportional to 283,064.26, 424,596.42 and 72,702.40

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Solution

The fourth proportional to 283,064.26, 424,596.42 and 72,702.40 is: 109,053.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,064.26 : 424,596.42 = 72,702.40 : x
  2. Step 2: Convert to fraction form
    283,064.26/424,596.42 = 72,702.40/x
  3. Step 3: Cross multiply
    283,064.26x = 424,596.42 × 72,702.40
  4. Step 4: Simplify right side
    283,064.26x = 30,869,178,765.41
  5. Step 5: Solve for x
    x = 30,869,178,765.41/283,064.26
  6. Step 6: Final answer
    x = 109,053.61

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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.