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Finding the Fourth Proportional to 722,724.54, 1,085,651.12 and 469,874.98

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Solution

The fourth proportional to 722,724.54, 1,085,651.12 and 469,874.98 is: 705,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,724.54 : 1,085,651.12 = 469,874.98 : x
  2. Step 2: Convert to fraction form
    722,724.54/1,085,651.12 = 469,874.98/x
  3. Step 3: Cross multiply
    722,724.54x = 1,085,651.12 × 469,874.98
  4. Step 4: Simplify right side
    722,724.54x = 510,120,298,296.98
  5. Step 5: Solve for x
    x = 510,120,298,296.98/722,724.54
  6. Step 6: Final answer
    x = 705,829.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.