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Finding the Fourth Proportional to 465,402.25, 697,873.51 and 273,324.87

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Solution

The fourth proportional to 465,402.25, 697,873.51 and 273,324.87 is: 409,852.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,402.25 : 697,873.51 = 273,324.87 : x
  2. Step 2: Convert to fraction form
    465,402.25/697,873.51 = 273,324.87/x
  3. Step 3: Cross multiply
    465,402.25x = 697,873.51 × 273,324.87
  4. Step 4: Simplify right side
    465,402.25x = 190,746,185,713.88
  5. Step 5: Solve for x
    x = 190,746,185,713.88/465,402.25
  6. Step 6: Final answer
    x = 409,852.31

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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.