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Finding the Fourth Proportional to 700,800.25, 967,113.39 and 414,317.83

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Solution

The fourth proportional to 700,800.25, 967,113.39 and 414,317.83 is: 571,763.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,800.25 : 967,113.39 = 414,317.83 : x
  2. Step 2: Convert to fraction form
    700,800.25/967,113.39 = 414,317.83/x
  3. Step 3: Cross multiply
    700,800.25x = 967,113.39 × 414,317.83
  4. Step 4: Simplify right side
    700,800.25x = 400,692,322,490.73
  5. Step 5: Solve for x
    x = 400,692,322,490.73/700,800.25
  6. Step 6: Final answer
    x = 571,763.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.