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Finding the Fourth Proportional to 229,119.40, 343,679.10 and 199,594.90

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Solution

The fourth proportional to 229,119.40, 343,679.10 and 199,594.90 is: 299,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,119.40 : 343,679.10 = 199,594.90 : x
  2. Step 2: Convert to fraction form
    229,119.40/343,679.10 = 199,594.90/x
  3. Step 3: Cross multiply
    229,119.40x = 343,679.10 × 199,594.90
  4. Step 4: Simplify right side
    229,119.40x = 68,596,595,596.59
  5. Step 5: Solve for x
    x = 68,596,595,596.59/229,119.40
  6. Step 6: Final answer
    x = 299,392.35

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1.5x scale

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.