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Finding the Fourth Proportional to 496,084.96, 744,122.58 and 141,052.24

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Solution

The fourth proportional to 496,084.96, 744,122.58 and 141,052.24 is: 211,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,084.96 : 744,122.58 = 141,052.24 : x
  2. Step 2: Convert to fraction form
    496,084.96/744,122.58 = 141,052.24/x
  3. Step 3: Cross multiply
    496,084.96x = 744,122.58 × 141,052.24
  4. Step 4: Simplify right side
    496,084.96x = 104,960,156,743.58
  5. Step 5: Solve for x
    x = 104,960,156,743.58/496,084.96
  6. Step 6: Final answer
    x = 211,576.98

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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.