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Finding the Fourth Proportional to 678,893.60, 1,018,081.20 and 205,421.60

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Solution

The fourth proportional to 678,893.60, 1,018,081.20 and 205,421.60 is: 308,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,893.60 : 1,018,081.20 = 205,421.60 : x
  2. Step 2: Convert to fraction form
    678,893.60/1,018,081.20 = 205,421.60/x
  3. Step 3: Cross multiply
    678,893.60x = 1,018,081.20 × 205,421.60
  4. Step 4: Simplify right side
    678,893.60x = 209,135,869,033.92
  5. Step 5: Solve for x
    x = 209,135,869,033.92/678,893.60
  6. Step 6: Final answer
    x = 308,053.97

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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.