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Finding the Fourth Proportional to 512,485.07, 707,225.81 and 283,057.38

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Solution

The fourth proportional to 512,485.07, 707,225.81 and 283,057.38 is: 390,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,485.07 : 707,225.81 = 283,057.38 : x
  2. Step 2: Convert to fraction form
    512,485.07/707,225.81 = 283,057.38/x
  3. Step 3: Cross multiply
    512,485.07x = 707,225.81 × 283,057.38
  4. Step 4: Simplify right side
    512,485.07x = 200,185,483,431.69
  5. Step 5: Solve for x
    x = 200,185,483,431.69/512,485.07
  6. Step 6: Final answer
    x = 390,617.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.