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Finding the Fourth Proportional to 349,424.16, 524,147.87 and 96,683.48

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Solution

The fourth proportional to 349,424.16, 524,147.87 and 96,683.48 is: 145,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,424.16 : 524,147.87 = 96,683.48 : x
  2. Step 2: Convert to fraction form
    349,424.16/524,147.87 = 96,683.48/x
  3. Step 3: Cross multiply
    349,424.16x = 524,147.87 × 96,683.48
  4. Step 4: Simplify right side
    349,424.16x = 50,676,437,002.03
  5. Step 5: Solve for x
    x = 50,676,437,002.03/349,424.16
  6. Step 6: Final answer
    x = 145,028.43

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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.