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Finding the Fourth Proportional to 514,754.92, 768,611.57 and 461,100.52

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Solution

The fourth proportional to 514,754.92, 768,611.57 and 461,100.52 is: 688,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,754.92 : 768,611.57 = 461,100.52 : x
  2. Step 2: Convert to fraction form
    514,754.92/768,611.57 = 461,100.52/x
  3. Step 3: Cross multiply
    514,754.92x = 768,611.57 × 461,100.52
  4. Step 4: Simplify right side
    514,754.92x = 354,407,194,605.02
  5. Step 5: Solve for x
    x = 354,407,194,605.02/514,754.92
  6. Step 6: Final answer
    x = 688,496.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.