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Finding the Fourth Proportional to 489,164.65, 733,750.88 and 200,902.02

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Solution

The fourth proportional to 489,164.65, 733,750.88 and 200,902.02 is: 301,354.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,164.65 : 733,750.88 = 200,902.02 : x
  2. Step 2: Convert to fraction form
    489,164.65/733,750.88 = 200,902.02/x
  3. Step 3: Cross multiply
    489,164.65x = 733,750.88 × 200,902.02
  4. Step 4: Simplify right side
    489,164.65x = 147,412,030,261.82
  5. Step 5: Solve for x
    x = 147,412,030,261.82/489,164.65
  6. Step 6: Final answer
    x = 301,354.63

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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.