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Finding the Fourth Proportional to 299,084.58, 412,722.16 and 178,223.18

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Solution

The fourth proportional to 299,084.58, 412,722.16 and 178,223.18 is: 245,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,084.58 : 412,722.16 = 178,223.18 : x
  2. Step 2: Convert to fraction form
    299,084.58/412,722.16 = 178,223.18/x
  3. Step 3: Cross multiply
    299,084.58x = 412,722.16 × 178,223.18
  4. Step 4: Simplify right side
    299,084.58x = 73,556,653,302.50
  5. Step 5: Solve for x
    x = 73,556,653,302.50/299,084.58
  6. Step 6: Final answer
    x = 245,939.30

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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.