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Finding the Fourth Proportional to 867,709, 1,302,405.20 and 418,745.84

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Solution

The fourth proportional to 867,709, 1,302,405.20 and 418,745.84 is: 628,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,709 : 1,302,405.20 = 418,745.84 : x
  2. Step 2: Convert to fraction form
    867,709/1,302,405.20 = 418,745.84/x
  3. Step 3: Cross multiply
    867,709x = 1,302,405.20 × 418,745.84
  4. Step 4: Simplify right side
    867,709x = 545,376,759,494.37
  5. Step 5: Solve for x
    x = 545,376,759,494.37/867,709
  6. Step 6: Final answer
    x = 628,524.95

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