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Finding the Fourth Proportional to 465,698.76, 697,963.75 and 199,145.81

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Solution

The fourth proportional to 465,698.76, 697,963.75 and 199,145.81 is: 298,468.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,698.76 : 697,963.75 = 199,145.81 : x
  2. Step 2: Convert to fraction form
    465,698.76/697,963.75 = 199,145.81/x
  3. Step 3: Cross multiply
    465,698.76x = 697,963.75 × 199,145.81
  4. Step 4: Simplify right side
    465,698.76x = 138,996,556,344.39
  5. Step 5: Solve for x
    x = 138,996,556,344.39/465,698.76
  6. Step 6: Final answer
    x = 298,468.81

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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.