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Finding the Fourth Proportional to 302,333.74, 417,219.73 and 166,376.50

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Solution

The fourth proportional to 302,333.74, 417,219.73 and 166,376.50 is: 229,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,333.74 : 417,219.73 = 166,376.50 : x
  2. Step 2: Convert to fraction form
    302,333.74/417,219.73 = 166,376.50/x
  3. Step 3: Cross multiply
    302,333.74x = 417,219.73 × 166,376.50
  4. Step 4: Simplify right side
    302,333.74x = 69,415,559,296.22
  5. Step 5: Solve for x
    x = 69,415,559,296.22/302,333.74
  6. Step 6: Final answer
    x = 229,599.12

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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.