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Finding the Fourth Proportional to 230,943.60, 346,415.40 and 199,450.80

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Solution

The fourth proportional to 230,943.60, 346,415.40 and 199,450.80 is: 299,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,943.60 : 346,415.40 = 199,450.80 : x
  2. Step 2: Convert to fraction form
    230,943.60/346,415.40 = 199,450.80/x
  3. Step 3: Cross multiply
    230,943.60x = 346,415.40 × 199,450.80
  4. Step 4: Simplify right side
    230,943.60x = 69,092,828,662.32
  5. Step 5: Solve for x
    x = 69,092,828,662.32/230,943.60
  6. Step 6: Final answer
    x = 299,176.20

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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.