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Finding the Fourth Proportional to 367,945, 507,764.58 and 208,969

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Solution

The fourth proportional to 367,945, 507,764.58 and 208,969 is: 288,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,945 : 507,764.58 = 208,969 : x
  2. Step 2: Convert to fraction form
    367,945/507,764.58 = 208,969/x
  3. Step 3: Cross multiply
    367,945x = 507,764.58 × 208,969
  4. Step 4: Simplify right side
    367,945x = 106,107,056,518.02
  5. Step 5: Solve for x
    x = 106,107,056,518.02/367,945
  6. Step 6: Final answer
    x = 288,377.49

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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.