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Finding the Fourth Proportional to 410,129.80, 614,532.30 and 232,107.40

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Solution

The fourth proportional to 410,129.80, 614,532.30 and 232,107.40 is: 347,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,129.80 : 614,532.30 = 232,107.40 : x
  2. Step 2: Convert to fraction form
    410,129.80/614,532.30 = 232,107.40/x
  3. Step 3: Cross multiply
    410,129.80x = 614,532.30 × 232,107.40
  4. Step 4: Simplify right side
    410,129.80x = 142,637,494,369.02
  5. Step 5: Solve for x
    x = 142,637,494,369.02/410,129.80
  6. Step 6: Final answer
    x = 347,786.22

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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.