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Finding the Fourth Proportional to 393,022.83, 589,534.25 and 97,534.83

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Solution

The fourth proportional to 393,022.83, 589,534.25 and 97,534.83 is: 146,302.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,022.83 : 589,534.25 = 97,534.83 : x
  2. Step 2: Convert to fraction form
    393,022.83/589,534.25 = 97,534.83/x
  3. Step 3: Cross multiply
    393,022.83x = 589,534.25 × 97,534.83
  4. Step 4: Simplify right side
    393,022.83x = 57,500,122,365.25
  5. Step 5: Solve for x
    x = 57,500,122,365.25/393,022.83
  6. Step 6: Final answer
    x = 146,302.25

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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.