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Finding the Fourth Proportional to 357,772.18, 493,715.17 and 204,805.30

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Solution

The fourth proportional to 357,772.18, 493,715.17 and 204,805.30 is: 282,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,772.18 : 493,715.17 = 204,805.30 : x
  2. Step 2: Convert to fraction form
    357,772.18/493,715.17 = 204,805.30/x
  3. Step 3: Cross multiply
    357,772.18x = 493,715.17 × 204,805.30
  4. Step 4: Simplify right side
    357,772.18x = 101,115,483,506.40
  5. Step 5: Solve for x
    x = 101,115,483,506.40/357,772.18
  6. Step 6: Final answer
    x = 282,625.34

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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.