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Finding the Fourth Proportional to 293,574.52, 440,361.81 and 83,212.48

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Solution

The fourth proportional to 293,574.52, 440,361.81 and 83,212.48 is: 124,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,574.52 : 440,361.81 = 83,212.48 : x
  2. Step 2: Convert to fraction form
    293,574.52/440,361.81 = 83,212.48/x
  3. Step 3: Cross multiply
    293,574.52x = 440,361.81 × 83,212.48
  4. Step 4: Simplify right side
    293,574.52x = 36,643,598,307.39
  5. Step 5: Solve for x
    x = 36,643,598,307.39/293,574.52
  6. Step 6: Final answer
    x = 124,818.73

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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.