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Finding the Fourth Proportional to 382,048.70, 573,073.05 and 97,738.70

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Solution

The fourth proportional to 382,048.70, 573,073.05 and 97,738.70 is: 146,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,048.70 : 573,073.05 = 97,738.70 : x
  2. Step 2: Convert to fraction form
    382,048.70/573,073.05 = 97,738.70/x
  3. Step 3: Cross multiply
    382,048.70x = 573,073.05 × 97,738.70
  4. Step 4: Simplify right side
    382,048.70x = 56,011,414,912.04
  5. Step 5: Solve for x
    x = 56,011,414,912.04/382,048.70
  6. Step 6: Final answer
    x = 146,608.05

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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.