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Finding the Fourth Proportional to 229,510.80, 344,266.20 and 214,639.20

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Solution

The fourth proportional to 229,510.80, 344,266.20 and 214,639.20 is: 321,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,510.80 : 344,266.20 = 214,639.20 : x
  2. Step 2: Convert to fraction form
    229,510.80/344,266.20 = 214,639.20/x
  3. Step 3: Cross multiply
    229,510.80x = 344,266.20 × 214,639.20
  4. Step 4: Simplify right side
    229,510.80x = 73,893,021,755.04
  5. Step 5: Solve for x
    x = 73,893,021,755.04/229,510.80
  6. Step 6: Final answer
    x = 321,958.80

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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.