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Finding the Fourth Proportional to 286,605.36, 429,907.52 and 76,243.30

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Solution

The fourth proportional to 286,605.36, 429,907.52 and 76,243.30 is: 114,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,605.36 : 429,907.52 = 76,243.30 : x
  2. Step 2: Convert to fraction form
    286,605.36/429,907.52 = 76,243.30/x
  3. Step 3: Cross multiply
    286,605.36x = 429,907.52 × 76,243.30
  4. Step 4: Simplify right side
    286,605.36x = 32,777,567,135.46
  5. Step 5: Solve for x
    x = 32,777,567,135.46/286,605.36
  6. Step 6: Final answer
    x = 114,364.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.