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Finding the Fourth Proportional to 304,913.21, 420,774.70 and 168,946.66

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Solution

The fourth proportional to 304,913.21, 420,774.70 and 168,946.66 is: 233,143.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,913.21 : 420,774.70 = 168,946.66 : x
  2. Step 2: Convert to fraction form
    304,913.21/420,774.70 = 168,946.66/x
  3. Step 3: Cross multiply
    304,913.21x = 420,774.70 × 168,946.66
  4. Step 4: Simplify right side
    304,913.21x = 71,088,480,597.88
  5. Step 5: Solve for x
    x = 71,088,480,597.88/304,913.21
  6. Step 6: Final answer
    x = 233,143.33

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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.