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Finding the Fourth Proportional to 401,322.02, 602,083.26 and 283,224.02

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Solution

The fourth proportional to 401,322.02, 602,083.26 and 283,224.02 is: 424,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,322.02 : 602,083.26 = 283,224.02 : x
  2. Step 2: Convert to fraction form
    401,322.02/602,083.26 = 283,224.02/x
  3. Step 3: Cross multiply
    401,322.02x = 602,083.26 × 283,224.02
  4. Step 4: Simplify right side
    401,322.02x = 170,524,439,855.79
  5. Step 5: Solve for x
    x = 170,524,439,855.79/401,322.02
  6. Step 6: Final answer
    x = 424,906.76

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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.