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Finding the Fourth Proportional to 393,198, 589,797.04 and 97,710

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Solution

The fourth proportional to 393,198, 589,797.04 and 97,710 is: 146,565.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,198 : 589,797.04 = 97,710 : x
  2. Step 2: Convert to fraction form
    393,198/589,797.04 = 97,710/x
  3. Step 3: Cross multiply
    393,198x = 589,797.04 × 97,710
  4. Step 4: Simplify right side
    393,198x = 57,629,068,778.40
  5. Step 5: Solve for x
    x = 57,629,068,778.40/393,198
  6. Step 6: Final answer
    x = 146,565.01

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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.