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Finding the Fourth Proportional to 299,683.60, 413,812.20 and 199,536.40

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Solution

The fourth proportional to 299,683.60, 413,812.20 and 199,536.40 is: 275,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,683.60 : 413,812.20 = 199,536.40 : x
  2. Step 2: Convert to fraction form
    299,683.60/413,812.20 = 199,536.40/x
  3. Step 3: Cross multiply
    299,683.60x = 413,812.20 × 199,536.40
  4. Step 4: Simplify right side
    299,683.60x = 82,570,596,664.08
  5. Step 5: Solve for x
    x = 82,570,596,664.08/299,683.60
  6. Step 6: Final answer
    x = 275,525.91

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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.