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Finding the Fourth Proportional to 307,420.42, 461,287.44 and 207,370.94

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Solution

The fourth proportional to 307,420.42, 461,287.44 and 207,370.94 is: 311,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,420.42 : 461,287.44 = 207,370.94 : x
  2. Step 2: Convert to fraction form
    307,420.42/461,287.44 = 207,370.94/x
  3. Step 3: Cross multiply
    307,420.42x = 461,287.44 × 207,370.94
  4. Step 4: Simplify right side
    307,420.42x = 95,657,610,042.99
  5. Step 5: Solve for x
    x = 95,657,610,042.99/307,420.42
  6. Step 6: Final answer
    x = 311,162.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.