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Finding the Fourth Proportional to 462,906.54, 693,645.39 and 312,557.58

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Solution

The fourth proportional to 462,906.54, 693,645.39 and 312,557.58 is: 468,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,906.54 : 693,645.39 = 312,557.58 : x
  2. Step 2: Convert to fraction form
    462,906.54/693,645.39 = 312,557.58/x
  3. Step 3: Cross multiply
    462,906.54x = 693,645.39 × 312,557.58
  4. Step 4: Simplify right side
    462,906.54x = 216,804,124,476.56
  5. Step 5: Solve for x
    x = 216,804,124,476.56/462,906.54
  6. Step 6: Final answer
    x = 468,353.99

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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.