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Finding the Fourth Proportional to 294,585.42, 441,903.77 and 81,353.61

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Solution

The fourth proportional to 294,585.42, 441,903.77 and 81,353.61 is: 122,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,585.42 : 441,903.77 = 81,353.61 : x
  2. Step 2: Convert to fraction form
    294,585.42/441,903.77 = 81,353.61/x
  3. Step 3: Cross multiply
    294,585.42x = 441,903.77 × 81,353.61
  4. Step 4: Simplify right side
    294,585.42x = 35,950,466,555.34
  5. Step 5: Solve for x
    x = 35,950,466,555.34/294,585.42
  6. Step 6: Final answer
    x = 122,037.49

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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.