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Finding the Fourth Proportional to 382,054.70, 573,082.05 and 97,744.70

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Solution

The fourth proportional to 382,054.70, 573,082.05 and 97,744.70 is: 146,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,054.70 : 573,082.05 = 97,744.70 : x
  2. Step 2: Convert to fraction form
    382,054.70/573,082.05 = 97,744.70/x
  3. Step 3: Cross multiply
    382,054.70x = 573,082.05 × 97,744.70
  4. Step 4: Simplify right side
    382,054.70x = 56,015,733,052.64
  5. Step 5: Solve for x
    x = 56,015,733,052.64/382,054.70
  6. Step 6: Final answer
    x = 146,617.05

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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.