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Finding the Fourth Proportional to 474,859.48, 712,298.34 and 175,185.82

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Solution

The fourth proportional to 474,859.48, 712,298.34 and 175,185.82 is: 262,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,859.48 : 712,298.34 = 175,185.82 : x
  2. Step 2: Convert to fraction form
    474,859.48/712,298.34 = 175,185.82/x
  3. Step 3: Cross multiply
    474,859.48x = 712,298.34 × 175,185.82
  4. Step 4: Simplify right side
    474,859.48x = 124,784,568,777.54
  5. Step 5: Solve for x
    x = 124,784,568,777.54/474,859.48
  6. Step 6: Final answer
    x = 262,782.09

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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.