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Finding the Fourth Proportional to 299,680.60, 413,808.06 and 199,533.40

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Solution

The fourth proportional to 299,680.60, 413,808.06 and 199,533.40 is: 275,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,680.60 : 413,808.06 = 199,533.40 : x
  2. Step 2: Convert to fraction form
    299,680.60/413,808.06 = 199,533.40/x
  3. Step 3: Cross multiply
    299,680.60x = 413,808.06 × 199,533.40
  4. Step 4: Simplify right side
    299,680.60x = 82,568,529,159.20
  5. Step 5: Solve for x
    x = 82,568,529,159.20/299,680.60
  6. Step 6: Final answer
    x = 275,521.77

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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.