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Finding the Fourth Proportional to 468,649.60, 702,974.40 and 309,217.30

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Solution

The fourth proportional to 468,649.60, 702,974.40 and 309,217.30 is: 463,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,649.60 : 702,974.40 = 309,217.30 : x
  2. Step 2: Convert to fraction form
    468,649.60/702,974.40 = 309,217.30/x
  3. Step 3: Cross multiply
    468,649.60x = 702,974.40 × 309,217.30
  4. Step 4: Simplify right side
    468,649.60x = 217,371,845,937.12
  5. Step 5: Solve for x
    x = 217,371,845,937.12/468,649.60
  6. Step 6: Final answer
    x = 463,825.95

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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.