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Finding the Fourth Proportional to 684,357.82, 1,026,544.91 and 414,544.88

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Solution

The fourth proportional to 684,357.82, 1,026,544.91 and 414,544.88 is: 621,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,357.82 : 1,026,544.91 = 414,544.88 : x
  2. Step 2: Convert to fraction form
    684,357.82/1,026,544.91 = 414,544.88/x
  3. Step 3: Cross multiply
    684,357.82x = 1,026,544.91 × 414,544.88
  4. Step 4: Simplify right side
    684,357.82x = 425,548,936,530.56
  5. Step 5: Solve for x
    x = 425,548,936,530.56/684,357.82
  6. Step 6: Final answer
    x = 621,822.27

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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.