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Finding the Fourth Proportional to 304,369.83, 456,632.60 and 178,116.39

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Solution

The fourth proportional to 304,369.83, 456,632.60 and 178,116.39 is: 267,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,369.83 : 456,632.60 = 178,116.39 : x
  2. Step 2: Convert to fraction form
    304,369.83/456,632.60 = 178,116.39/x
  3. Step 3: Cross multiply
    304,369.83x = 456,632.60 × 178,116.39
  4. Step 4: Simplify right side
    304,369.83x = 81,333,749,377.73
  5. Step 5: Solve for x
    x = 81,333,749,377.73/304,369.83
  6. Step 6: Final answer
    x = 267,220.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.