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Finding the Fourth Proportional to 367,394.92, 507,014.36 and 206,262.22

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Solution

The fourth proportional to 367,394.92, 507,014.36 and 206,262.22 is: 284,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,394.92 : 507,014.36 = 206,262.22 : x
  2. Step 2: Convert to fraction form
    367,394.92/507,014.36 = 206,262.22/x
  3. Step 3: Cross multiply
    367,394.92x = 507,014.36 × 206,262.22
  4. Step 4: Simplify right side
    367,394.92x = 104,577,907,465.48
  5. Step 5: Solve for x
    x = 104,577,907,465.48/367,394.92
  6. Step 6: Final answer
    x = 284,647.12

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1.5x scale

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.