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Finding the Fourth Proportional to 304,356.67, 456,530.38 and 104,678.78

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Solution

The fourth proportional to 304,356.67, 456,530.38 and 104,678.78 is: 157,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,356.67 : 456,530.38 = 104,678.78 : x
  2. Step 2: Convert to fraction form
    304,356.67/456,530.38 = 104,678.78/x
  3. Step 3: Cross multiply
    304,356.67x = 456,530.38 × 104,678.78
  4. Step 4: Simplify right side
    304,356.67x = 47,789,043,211.34
  5. Step 5: Solve for x
    x = 47,789,043,211.34/304,356.67
  6. Step 6: Final answer
    x = 157,016.58

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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.