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Finding the Fourth Proportional to 367,762.75, 507,519.26 and 204,434.53

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Solution

The fourth proportional to 367,762.75, 507,519.26 and 204,434.53 is: 282,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,762.75 : 507,519.26 = 204,434.53 : x
  2. Step 2: Convert to fraction form
    367,762.75/507,519.26 = 204,434.53/x
  3. Step 3: Cross multiply
    367,762.75x = 507,519.26 × 204,434.53
  4. Step 4: Simplify right side
    367,762.75x = 103,754,461,384.05
  5. Step 5: Solve for x
    x = 103,754,461,384.05/367,762.75
  6. Step 6: Final answer
    x = 282,123.36

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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.