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Finding the Fourth Proportional to 302,429.88, 417,349.92 and 166,460.90

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Solution

The fourth proportional to 302,429.88, 417,349.92 and 166,460.90 is: 229,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,429.88 : 417,349.92 = 166,460.90 : x
  2. Step 2: Convert to fraction form
    302,429.88/417,349.92 = 166,460.90/x
  3. Step 3: Cross multiply
    302,429.88x = 417,349.92 × 166,460.90
  4. Step 4: Simplify right side
    302,429.88x = 69,472,441,835.61
  5. Step 5: Solve for x
    x = 69,472,441,835.61/302,429.88
  6. Step 6: Final answer
    x = 229,714.21

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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.