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Finding the Fourth Proportional to 367,711.59, 507,442.04 and 204,368.07

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Solution

The fourth proportional to 367,711.59, 507,442.04 and 204,368.07 is: 282,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,711.59 : 507,442.04 = 204,368.07 : x
  2. Step 2: Convert to fraction form
    367,711.59/507,442.04 = 204,368.07/x
  3. Step 3: Cross multiply
    367,711.59x = 507,442.04 × 204,368.07
  4. Step 4: Simplify right side
    367,711.59x = 103,704,950,351.66
  5. Step 5: Solve for x
    x = 103,704,950,351.66/367,711.59
  6. Step 6: Final answer
    x = 282,027.96

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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.