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Finding the Fourth Proportional to 294,513.80, 441,770.70 and 144,777.20

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Solution

The fourth proportional to 294,513.80, 441,770.70 and 144,777.20 is: 217,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,513.80 : 441,770.70 = 144,777.20 : x
  2. Step 2: Convert to fraction form
    294,513.80/441,770.70 = 144,777.20/x
  3. Step 3: Cross multiply
    294,513.80x = 441,770.70 × 144,777.20
  4. Step 4: Simplify right side
    294,513.80x = 63,958,324,988.04
  5. Step 5: Solve for x
    x = 63,958,324,988.04/294,513.80
  6. Step 6: Final answer
    x = 217,165.80

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1.5x scale

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.