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Finding the Fourth Proportional to 315,099.70, 472,217.55 and 202,434.10

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Solution

The fourth proportional to 315,099.70, 472,217.55 and 202,434.10 is: 303,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,099.70 : 472,217.55 = 202,434.10 : x
  2. Step 2: Convert to fraction form
    315,099.70/472,217.55 = 202,434.10/x
  3. Step 3: Cross multiply
    315,099.70x = 472,217.55 × 202,434.10
  4. Step 4: Simplify right side
    315,099.70x = 95,592,934,738.46
  5. Step 5: Solve for x
    x = 95,592,934,738.46/315,099.70
  6. Step 6: Final answer
    x = 303,373.61

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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.