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Finding the Fourth Proportional to 307,743.84, 461,544.48 and 97,342.56

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Solution

The fourth proportional to 307,743.84, 461,544.48 and 97,342.56 is: 145,991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,743.84 : 461,544.48 = 97,342.56 : x
  2. Step 2: Convert to fraction form
    307,743.84/461,544.48 = 97,342.56/x
  3. Step 3: Cross multiply
    307,743.84x = 461,544.48 × 97,342.56
  4. Step 4: Simplify right side
    307,743.84x = 44,927,921,237.07
  5. Step 5: Solve for x
    x = 44,927,921,237.07/307,743.84
  6. Step 6: Final answer
    x = 145,991.29

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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.