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Finding the Fourth Proportional to 367,903.08, 507,708.03 and 214,950

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Solution

The fourth proportional to 367,903.08, 507,708.03 and 214,950 is: 296,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,903.08 : 507,708.03 = 214,950 : x
  2. Step 2: Convert to fraction form
    367,903.08/507,708.03 = 214,950/x
  3. Step 3: Cross multiply
    367,903.08x = 507,708.03 × 214,950
  4. Step 4: Simplify right side
    367,903.08x = 109,131,841,048.50
  5. Step 5: Solve for x
    x = 109,131,841,048.50/367,903.08
  6. Step 6: Final answer
    x = 296,632.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.