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Finding the Fourth Proportional to 561,834.10, 843,350.82 and 242,143.71

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Solution

The fourth proportional to 561,834.10, 843,350.82 and 242,143.71 is: 363,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,834.10 : 843,350.82 = 242,143.71 : x
  2. Step 2: Convert to fraction form
    561,834.10/843,350.82 = 242,143.71/x
  3. Step 3: Cross multiply
    561,834.10x = 843,350.82 × 242,143.71
  4. Step 4: Simplify right side
    561,834.10x = 204,212,096,386.34
  5. Step 5: Solve for x
    x = 204,212,096,386.34/561,834.10
  6. Step 6: Final answer
    x = 363,474.02

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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.