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Finding the Fourth Proportional to 299,984.01, 414,020.21 and 183,766.83

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Solution

The fourth proportional to 299,984.01, 414,020.21 and 183,766.83 is: 253,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,984.01 : 414,020.21 = 183,766.83 : x
  2. Step 2: Convert to fraction form
    299,984.01/414,020.21 = 183,766.83/x
  3. Step 3: Cross multiply
    299,984.01x = 414,020.21 × 183,766.83
  4. Step 4: Simplify right side
    299,984.01x = 76,083,180,109.91
  5. Step 5: Solve for x
    x = 76,083,180,109.91/299,984.01
  6. Step 6: Final answer
    x = 253,624.12

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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.