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Finding the Fourth Proportional to 589,658.40, 884,617.20 and 190,231.20

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Solution

The fourth proportional to 589,658.40, 884,617.20 and 190,231.20 is: 285,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,658.40 : 884,617.20 = 190,231.20 : x
  2. Step 2: Convert to fraction form
    589,658.40/884,617.20 = 190,231.20/x
  3. Step 3: Cross multiply
    589,658.40x = 884,617.20 × 190,231.20
  4. Step 4: Simplify right side
    589,658.40x = 168,281,791,496.64
  5. Step 5: Solve for x
    x = 168,281,791,496.64/589,658.40
  6. Step 6: Final answer
    x = 285,388.61

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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.