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Finding the Fourth Proportional to 307,671.36, 461,485.10 and 83,044.58

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Solution

The fourth proportional to 307,671.36, 461,485.10 and 83,044.58 is: 124,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,671.36 : 461,485.10 = 83,044.58 : x
  2. Step 2: Convert to fraction form
    307,671.36/461,485.10 = 83,044.58/x
  3. Step 3: Cross multiply
    307,671.36x = 461,485.10 × 83,044.58
  4. Step 4: Simplify right side
    307,671.36x = 38,323,836,305.76
  5. Step 5: Solve for x
    x = 38,323,836,305.76/307,671.36
  6. Step 6: Final answer
    x = 124,560.95

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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.