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Finding the Fourth Proportional to 465,983.62, 697,925.31 and 326,365.54

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Solution

The fourth proportional to 465,983.62, 697,925.31 and 326,365.54 is: 488,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,983.62 : 697,925.31 = 326,365.54 : x
  2. Step 2: Convert to fraction form
    465,983.62/697,925.31 = 326,365.54/x
  3. Step 3: Cross multiply
    465,983.62x = 697,925.31 × 326,365.54
  4. Step 4: Simplify right side
    465,983.62x = 227,778,770,677.82
  5. Step 5: Solve for x
    x = 227,778,770,677.82/465,983.62
  6. Step 6: Final answer
    x = 488,812.83

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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.