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Finding the Fourth Proportional to 307,477.20, 461,302.20 and 149,710.80

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Solution

The fourth proportional to 307,477.20, 461,302.20 and 149,710.80 is: 224,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,477.20 : 461,302.20 = 149,710.80 : x
  2. Step 2: Convert to fraction form
    307,477.20/461,302.20 = 149,710.80/x
  3. Step 3: Cross multiply
    307,477.20x = 461,302.20 × 149,710.80
  4. Step 4: Simplify right side
    307,477.20x = 69,061,921,403.76
  5. Step 5: Solve for x
    x = 69,061,921,403.76/307,477.20
  6. Step 6: Final answer
    x = 224,608.27

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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.