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Finding the Fourth Proportional to 333,104.82, 459,555.54 and 212,224.50

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Solution

The fourth proportional to 333,104.82, 459,555.54 and 212,224.50 is: 292,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,104.82 : 459,555.54 = 212,224.50 : x
  2. Step 2: Convert to fraction form
    333,104.82/459,555.54 = 212,224.50/x
  3. Step 3: Cross multiply
    333,104.82x = 459,555.54 × 212,224.50
  4. Step 4: Simplify right side
    333,104.82x = 97,528,944,698.73
  5. Step 5: Solve for x
    x = 97,528,944,698.73/333,104.82
  6. Step 6: Final answer
    x = 292,787.55

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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.