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Finding the Fourth Proportional to 434,725.20, 652,087.80 and 154,270.80

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Solution

The fourth proportional to 434,725.20, 652,087.80 and 154,270.80 is: 231,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,725.20 : 652,087.80 = 154,270.80 : x
  2. Step 2: Convert to fraction form
    434,725.20/652,087.80 = 154,270.80/x
  3. Step 3: Cross multiply
    434,725.20x = 652,087.80 × 154,270.80
  4. Step 4: Simplify right side
    434,725.20x = 100,598,106,576.24
  5. Step 5: Solve for x
    x = 100,598,106,576.24/434,725.20
  6. Step 6: Final answer
    x = 231,406.20

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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.