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Finding the Fourth Proportional to 307,477.74, 461,872.18 and 289,500.60

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Solution

The fourth proportional to 307,477.74, 461,872.18 and 289,500.60 is: 434,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,477.74 : 461,872.18 = 289,500.60 : x
  2. Step 2: Convert to fraction form
    307,477.74/461,872.18 = 289,500.60/x
  3. Step 3: Cross multiply
    307,477.74x = 461,872.18 × 289,500.60
  4. Step 4: Simplify right side
    307,477.74x = 133,712,273,233.31
  5. Step 5: Solve for x
    x = 133,712,273,233.31/307,477.74
  6. Step 6: Final answer
    x = 434,868.14

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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.