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Finding the Fourth Proportional to 372,838.57, 514,520.70 and 211,697.07

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Solution

The fourth proportional to 372,838.57, 514,520.70 and 211,697.07 is: 292,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,838.57 : 514,520.70 = 211,697.07 : x
  2. Step 2: Convert to fraction form
    372,838.57/514,520.70 = 211,697.07/x
  3. Step 3: Cross multiply
    372,838.57x = 514,520.70 × 211,697.07
  4. Step 4: Simplify right side
    372,838.57x = 108,922,524,644.35
  5. Step 5: Solve for x
    x = 108,922,524,644.35/372,838.57
  6. Step 6: Final answer
    x = 292,143.93

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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.