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Finding the Fourth Proportional to 467,998.92, 645,838.65 and 264,093.17

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Solution

The fourth proportional to 467,998.92, 645,838.65 and 264,093.17 is: 364,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,998.92 : 645,838.65 = 264,093.17 : x
  2. Step 2: Convert to fraction form
    467,998.92/645,838.65 = 264,093.17/x
  3. Step 3: Cross multiply
    467,998.92x = 645,838.65 × 264,093.17
  4. Step 4: Simplify right side
    467,998.92x = 170,561,573,157.83
  5. Step 5: Solve for x
    x = 170,561,573,157.83/467,998.92
  6. Step 6: Final answer
    x = 364,448.65

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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.