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Finding the Fourth Proportional to 419,219.08, 577,241.22 and 316,003.24

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Solution

The fourth proportional to 419,219.08, 577,241.22 and 316,003.24 is: 435,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,219.08 : 577,241.22 = 316,003.24 : x
  2. Step 2: Convert to fraction form
    419,219.08/577,241.22 = 316,003.24/x
  3. Step 3: Cross multiply
    419,219.08x = 577,241.22 × 316,003.24
  4. Step 4: Simplify right side
    419,219.08x = 182,410,095,781.55
  5. Step 5: Solve for x
    x = 182,410,095,781.55/419,219.08
  6. Step 6: Final answer
    x = 435,118.78

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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.