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Finding the Fourth Proportional to 333,107.84, 459,559.70 and 212,227.48

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Solution

The fourth proportional to 333,107.84, 459,559.70 and 212,227.48 is: 292,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,107.84 : 459,559.70 = 212,227.48 : x
  2. Step 2: Convert to fraction form
    333,107.84/459,559.70 = 212,227.48/x
  3. Step 3: Cross multiply
    333,107.84x = 459,559.70 × 212,227.48
  4. Step 4: Simplify right side
    333,107.84x = 97,531,197,040.56
  5. Step 5: Solve for x
    x = 97,531,197,040.56/333,107.84
  6. Step 6: Final answer
    x = 292,791.66

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1.5x scale

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.