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Finding the Fourth Proportional to 294,322.56, 441,350.40 and 83,911.68

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Solution

The fourth proportional to 294,322.56, 441,350.40 and 83,911.68 is: 125,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,322.56 : 441,350.40 = 83,911.68 : x
  2. Step 2: Convert to fraction form
    294,322.56/441,350.40 = 83,911.68/x
  3. Step 3: Cross multiply
    294,322.56x = 441,350.40 × 83,911.68
  4. Step 4: Simplify right side
    294,322.56x = 37,034,453,532.67
  5. Step 5: Solve for x
    x = 37,034,453,532.67/294,322.56
  6. Step 6: Final answer
    x = 125,829.48

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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.