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Finding the Fourth Proportional to 382,022.79, 573,028.29 and 97,710.83

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Solution

The fourth proportional to 382,022.79, 573,028.29 and 97,710.83 is: 146,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,022.79 : 573,028.29 = 97,710.83 : x
  2. Step 2: Convert to fraction form
    382,022.79/573,028.29 = 97,710.83/x
  3. Step 3: Cross multiply
    382,022.79x = 573,028.29 × 97,710.83
  4. Step 4: Simplify right side
    382,022.79x = 55,991,066,964.24
  5. Step 5: Solve for x
    x = 55,991,066,964.24/382,022.79
  6. Step 6: Final answer
    x = 146,564.73

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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.