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Finding the Fourth Proportional to 304,091.66, 419,554.38 and 212,208.50

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Solution

The fourth proportional to 304,091.66, 419,554.38 and 212,208.50 is: 292,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,091.66 : 419,554.38 = 212,208.50 : x
  2. Step 2: Convert to fraction form
    304,091.66/419,554.38 = 212,208.50/x
  3. Step 3: Cross multiply
    304,091.66x = 419,554.38 × 212,208.50
  4. Step 4: Simplify right side
    304,091.66x = 89,033,005,648.23
  5. Step 5: Solve for x
    x = 89,033,005,648.23/304,091.66
  6. Step 6: Final answer
    x = 292,783.45

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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.