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Finding the Fourth Proportional to 367,279.30, 506,950.41 and 238,214.98

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Solution

The fourth proportional to 367,279.30, 506,950.41 and 238,214.98 is: 328,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,279.30 : 506,950.41 = 238,214.98 : x
  2. Step 2: Convert to fraction form
    367,279.30/506,950.41 = 238,214.98/x
  3. Step 3: Cross multiply
    367,279.30x = 506,950.41 × 238,214.98
  4. Step 4: Simplify right side
    367,279.30x = 120,763,181,779.14
  5. Step 5: Solve for x
    x = 120,763,181,779.14/367,279.30
  6. Step 6: Final answer
    x = 328,804.76

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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.