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Finding the Fourth Proportional to 307,411.09, 458,025.78 and 290,222.30

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Solution

The fourth proportional to 307,411.09, 458,025.78 and 290,222.30 is: 432,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,411.09 : 458,025.78 = 290,222.30 : x
  2. Step 2: Convert to fraction form
    307,411.09/458,025.78 = 290,222.30/x
  3. Step 3: Cross multiply
    307,411.09x = 458,025.78 × 290,222.30
  4. Step 4: Simplify right side
    307,411.09x = 132,929,294,987.90
  5. Step 5: Solve for x
    x = 132,929,294,987.90/307,411.09
  6. Step 6: Final answer
    x = 432,415.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.