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Finding the Fourth Proportional to 416,727.60, 582,718.80 and 416,727.60

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Solution

The fourth proportional to 416,727.60, 582,718.80 and 416,727.60 is: 582,718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,727.60 : 582,718.80 = 416,727.60 : x
  2. Step 2: Convert to fraction form
    416,727.60/582,718.80 = 416,727.60/x
  3. Step 3: Cross multiply
    416,727.60x = 582,718.80 × 416,727.60
  4. Step 4: Simplify right side
    416,727.60x = 242,835,006,998.88
  5. Step 5: Solve for x
    x = 242,835,006,998.88/416,727.60
  6. Step 6: Final answer
    x = 582,718.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.