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Finding the Fourth Proportional to 384,511.88, 530,561.94 and 214,746.68

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Solution

The fourth proportional to 384,511.88, 530,561.94 and 214,746.68 is: 296,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,511.88 : 530,561.94 = 214,746.68 : x
  2. Step 2: Convert to fraction form
    384,511.88/530,561.94 = 214,746.68/x
  3. Step 3: Cross multiply
    384,511.88x = 530,561.94 × 214,746.68
  4. Step 4: Simplify right side
    384,511.88x = 113,936,415,149.36
  5. Step 5: Solve for x
    x = 113,936,415,149.36/384,511.88
  6. Step 6: Final answer
    x = 296,314.42

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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.