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Finding the Fourth Proportional to 411,684.32, 618,093.18 and 209,417.36

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Solution

The fourth proportional to 411,684.32, 618,093.18 and 209,417.36 is: 314,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,684.32 : 618,093.18 = 209,417.36 : x
  2. Step 2: Convert to fraction form
    411,684.32/618,093.18 = 209,417.36/x
  3. Step 3: Cross multiply
    411,684.32x = 618,093.18 × 209,417.36
  4. Step 4: Simplify right side
    411,684.32x = 129,439,441,989.61
  5. Step 5: Solve for x
    x = 129,439,441,989.61/411,684.32
  6. Step 6: Final answer
    x = 314,414.31

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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.