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Finding the Fourth Proportional to 367,443.48, 507,055.44 and 206,295.60

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Solution

The fourth proportional to 367,443.48, 507,055.44 and 206,295.60 is: 284,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,443.48 : 507,055.44 = 206,295.60 : x
  2. Step 2: Convert to fraction form
    367,443.48/507,055.44 = 206,295.60/x
  3. Step 3: Cross multiply
    367,443.48x = 507,055.44 × 206,295.60
  4. Step 4: Simplify right side
    367,443.48x = 104,603,306,228.06
  5. Step 5: Solve for x
    x = 104,603,306,228.06/367,443.48
  6. Step 6: Final answer
    x = 284,678.63

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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.