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Finding the Fourth Proportional to 442,912.70, 664,239.45 and 158,570.30

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Solution

The fourth proportional to 442,912.70, 664,239.45 and 158,570.30 is: 237,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,912.70 : 664,239.45 = 158,570.30 : x
  2. Step 2: Convert to fraction form
    442,912.70/664,239.45 = 158,570.30/x
  3. Step 3: Cross multiply
    442,912.70x = 664,239.45 × 158,570.30
  4. Step 4: Simplify right side
    442,912.70x = 105,328,648,858.34
  5. Step 5: Solve for x
    x = 105,328,648,858.34/442,912.70
  6. Step 6: Final answer
    x = 237,809.05

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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.