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Finding the Fourth Proportional to 304,093.66, 419,557.14 and 212,210.50

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Solution

The fourth proportional to 304,093.66, 419,557.14 and 212,210.50 is: 292,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,093.66 : 419,557.14 = 212,210.50 : x
  2. Step 2: Convert to fraction form
    304,093.66/419,557.14 = 212,210.50/x
  3. Step 3: Cross multiply
    304,093.66x = 419,557.14 × 212,210.50
  4. Step 4: Simplify right side
    304,093.66x = 89,034,430,457.97
  5. Step 5: Solve for x
    x = 89,034,430,457.97/304,093.66
  6. Step 6: Final answer
    x = 292,786.21

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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.