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Finding the Fourth Proportional to 302,515.50, 417,455.53 and 166,522.88

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Solution

The fourth proportional to 302,515.50, 417,455.53 and 166,522.88 is: 229,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,515.50 : 417,455.53 = 166,522.88 : x
  2. Step 2: Convert to fraction form
    302,515.50/417,455.53 = 166,522.88/x
  3. Step 3: Cross multiply
    302,515.50x = 417,455.53 × 166,522.88
  4. Step 4: Simplify right side
    302,515.50x = 69,515,898,379.32
  5. Step 5: Solve for x
    x = 69,515,898,379.32/302,515.50
  6. Step 6: Final answer
    x = 229,792.85

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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.