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Finding the Fourth Proportional to 312,237.68, 430,898.43 and 191,355.61

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Solution

The fourth proportional to 312,237.68, 430,898.43 and 191,355.61 is: 264,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,237.68 : 430,898.43 = 191,355.61 : x
  2. Step 2: Convert to fraction form
    312,237.68/430,898.43 = 191,355.61/x
  3. Step 3: Cross multiply
    312,237.68x = 430,898.43 × 191,355.61
  4. Step 4: Simplify right side
    312,237.68x = 82,454,831,920.69
  5. Step 5: Solve for x
    x = 82,454,831,920.69/312,237.68
  6. Step 6: Final answer
    x = 264,077.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.