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Finding the Fourth Proportional to 678,894.60, 1,018,082.70 and 205,422.60

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Solution

The fourth proportional to 678,894.60, 1,018,082.70 and 205,422.60 is: 308,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,894.60 : 1,018,082.70 = 205,422.60 : x
  2. Step 2: Convert to fraction form
    678,894.60/1,018,082.70 = 205,422.60/x
  3. Step 3: Cross multiply
    678,894.60x = 1,018,082.70 × 205,422.60
  4. Step 4: Simplify right side
    678,894.60x = 209,137,195,249.02
  5. Step 5: Solve for x
    x = 209,137,195,249.02/678,894.60
  6. Step 6: Final answer
    x = 308,055.47

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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.