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Finding the Fourth Proportional to 385,770.40, 577,964.40 and 330,474.40

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Solution

The fourth proportional to 385,770.40, 577,964.40 and 330,474.40 is: 495,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,770.40 : 577,964.40 = 330,474.40 : x
  2. Step 2: Convert to fraction form
    385,770.40/577,964.40 = 330,474.40/x
  3. Step 3: Cross multiply
    385,770.40x = 577,964.40 × 330,474.40
  4. Step 4: Simplify right side
    385,770.40x = 191,002,438,311.36
  5. Step 5: Solve for x
    x = 191,002,438,311.36/385,770.40
  6. Step 6: Final answer
    x = 495,119.48

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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.