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Finding the Fourth Proportional to 604,941.80, 906,375.90 and 394,471.40

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Solution

The fourth proportional to 604,941.80, 906,375.90 and 394,471.40 is: 591,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,941.80 : 906,375.90 = 394,471.40 : x
  2. Step 2: Convert to fraction form
    604,941.80/906,375.90 = 394,471.40/x
  3. Step 3: Cross multiply
    604,941.80x = 906,375.90 × 394,471.40
  4. Step 4: Simplify right side
    604,941.80x = 357,539,370,199.26
  5. Step 5: Solve for x
    x = 357,539,370,199.26/604,941.80
  6. Step 6: Final answer
    x = 591,031.02

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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.