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Finding the Fourth Proportional to 768,097.12, 1,060,163.82 and 466,543.84

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Solution

The fourth proportional to 768,097.12, 1,060,163.82 and 466,543.84 is: 643,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,097.12 : 1,060,163.82 = 466,543.84 : x
  2. Step 2: Convert to fraction form
    768,097.12/1,060,163.82 = 466,543.84/x
  3. Step 3: Cross multiply
    768,097.12x = 1,060,163.82 × 466,543.84
  4. Step 4: Simplify right side
    768,097.12x = 494,612,899,611.87
  5. Step 5: Solve for x
    x = 494,612,899,611.87/768,097.12
  6. Step 6: Final answer
    x = 643,945.78

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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.