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Finding the Fourth Proportional to 463,764.32, 694,096.43 and 264,031.08

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Solution

The fourth proportional to 463,764.32, 694,096.43 and 264,031.08 is: 395,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,764.32 : 694,096.43 = 264,031.08 : x
  2. Step 2: Convert to fraction form
    463,764.32/694,096.43 = 264,031.08/x
  3. Step 3: Cross multiply
    463,764.32x = 694,096.43 × 264,031.08
  4. Step 4: Simplify right side
    463,764.32x = 183,263,026,114.03
  5. Step 5: Solve for x
    x = 183,263,026,114.03/463,764.32
  6. Step 6: Final answer
    x = 395,164.14

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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.