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Finding the Fourth Proportional to 367,429.73, 507,013.83 and 206,302.50

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Solution

The fourth proportional to 367,429.73, 507,013.83 and 206,302.50 is: 284,675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,429.73 : 507,013.83 = 206,302.50 : x
  2. Step 2: Convert to fraction form
    367,429.73/507,013.83 = 206,302.50/x
  3. Step 3: Cross multiply
    367,429.73x = 507,013.83 × 206,302.50
  4. Step 4: Simplify right side
    367,429.73x = 104,598,220,663.58
  5. Step 5: Solve for x
    x = 104,598,220,663.58/367,429.73
  6. Step 6: Final answer
    x = 284,675.45

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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.