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Finding the Fourth Proportional to 302,463.34, 417,385.08 and 166,494.48

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Solution

The fourth proportional to 302,463.34, 417,385.08 and 166,494.48 is: 229,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,463.34 : 417,385.08 = 166,494.48 : x
  2. Step 2: Convert to fraction form
    302,463.34/417,385.08 = 166,494.48/x
  3. Step 3: Cross multiply
    302,463.34x = 417,385.08 × 166,494.48
  4. Step 4: Simplify right side
    302,463.34x = 69,492,313,314.06
  5. Step 5: Solve for x
    x = 69,492,313,314.06/302,463.34
  6. Step 6: Final answer
    x = 229,754.50

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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.