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Finding the Fourth Proportional to 490,077.40, 734,727.30 and 268,461.40

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Solution

The fourth proportional to 490,077.40, 734,727.30 and 268,461.40 is: 402,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,077.40 : 734,727.30 = 268,461.40 : x
  2. Step 2: Convert to fraction form
    490,077.40/734,727.30 = 268,461.40/x
  3. Step 3: Cross multiply
    490,077.40x = 734,727.30 × 268,461.40
  4. Step 4: Simplify right side
    490,077.40x = 197,245,919,576.22
  5. Step 5: Solve for x
    x = 197,245,919,576.22/490,077.40
  6. Step 6: Final answer
    x = 402,479.12

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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.