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Finding the Fourth Proportional to 411,127.33, 616,410.36 and 219,030.50

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Solution

The fourth proportional to 411,127.33, 616,410.36 and 219,030.50 is: 328,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,127.33 : 616,410.36 = 219,030.50 : x
  2. Step 2: Convert to fraction form
    411,127.33/616,410.36 = 219,030.50/x
  3. Step 3: Cross multiply
    411,127.33x = 616,410.36 × 219,030.50
  4. Step 4: Simplify right side
    411,127.33x = 135,012,669,355.98
  5. Step 5: Solve for x
    x = 135,012,669,355.98/411,127.33
  6. Step 6: Final answer
    x = 328,396.24

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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.