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Finding the Fourth Proportional to 299,084.96, 412,722.68 and 178,223.55

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Solution

The fourth proportional to 299,084.96, 412,722.68 and 178,223.55 is: 245,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,084.96 : 412,722.68 = 178,223.55 : x
  2. Step 2: Convert to fraction form
    299,084.96/412,722.68 = 178,223.55/x
  3. Step 3: Cross multiply
    299,084.96x = 412,722.68 × 178,223.55
  4. Step 4: Simplify right side
    299,084.96x = 73,556,900,304.00
  5. Step 5: Solve for x
    x = 73,556,900,304.00/299,084.96
  6. Step 6: Final answer
    x = 245,939.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.