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Finding the Fourth Proportional to 302,955.42, 418,081.28 and 166,994.58

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Solution

The fourth proportional to 302,955.42, 418,081.28 and 166,994.58 is: 230,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,955.42 : 418,081.28 = 166,994.58 : x
  2. Step 2: Convert to fraction form
    302,955.42/418,081.28 = 166,994.58/x
  3. Step 3: Cross multiply
    302,955.42x = 418,081.28 × 166,994.58
  4. Step 4: Simplify right side
    302,955.42x = 69,817,307,759.46
  5. Step 5: Solve for x
    x = 69,817,307,759.46/302,955.42
  6. Step 6: Final answer
    x = 230,454.06

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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.