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Finding the Fourth Proportional to 313,393.40, 470,090.10 and 299,742.20

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Solution

The fourth proportional to 313,393.40, 470,090.10 and 299,742.20 is: 449,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,393.40 : 470,090.10 = 299,742.20 : x
  2. Step 2: Convert to fraction form
    313,393.40/470,090.10 = 299,742.20/x
  3. Step 3: Cross multiply
    313,393.40x = 470,090.10 × 299,742.20
  4. Step 4: Simplify right side
    313,393.40x = 140,905,840,772.22
  5. Step 5: Solve for x
    x = 140,905,840,772.22/313,393.40
  6. Step 6: Final answer
    x = 449,613.30

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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.