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Finding the Fourth Proportional to 302,815.60, 417,754.19 and 180,239.24

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Solution

The fourth proportional to 302,815.60, 417,754.19 and 180,239.24 is: 248,651.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,815.60 : 417,754.19 = 180,239.24 : x
  2. Step 2: Convert to fraction form
    302,815.60/417,754.19 = 180,239.24/x
  3. Step 3: Cross multiply
    302,815.60x = 417,754.19 × 180,239.24
  4. Step 4: Simplify right side
    302,815.60x = 75,295,699,207.40
  5. Step 5: Solve for x
    x = 75,295,699,207.40/302,815.60
  6. Step 6: Final answer
    x = 248,651.98

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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.