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Finding the Fourth Proportional to 638,543.36, 958,093.44 and 342,709.76

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Solution

The fourth proportional to 638,543.36, 958,093.44 and 342,709.76 is: 514,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,543.36 : 958,093.44 = 342,709.76 : x
  2. Step 2: Convert to fraction form
    638,543.36/958,093.44 = 342,709.76/x
  3. Step 3: Cross multiply
    638,543.36x = 958,093.44 × 342,709.76
  4. Step 4: Simplify right side
    638,543.36x = 328,347,972,879.97
  5. Step 5: Solve for x
    x = 328,347,972,879.97/638,543.36
  6. Step 6: Final answer
    x = 514,214.06

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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.