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Finding the Fourth Proportional to 463,527.06, 694,101.51 and 321,170.10

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Solution

The fourth proportional to 463,527.06, 694,101.51 and 321,170.10 is: 480,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,527.06 : 694,101.51 = 321,170.10 : x
  2. Step 2: Convert to fraction form
    463,527.06/694,101.51 = 321,170.10/x
  3. Step 3: Cross multiply
    463,527.06x = 694,101.51 × 321,170.10
  4. Step 4: Simplify right side
    463,527.06x = 222,924,651,376.85
  5. Step 5: Solve for x
    x = 222,924,651,376.85/463,527.06
  6. Step 6: Final answer
    x = 480,931.26

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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.