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Finding the Fourth Proportional to 307,514.40, 461,271.60 and 305,440.80

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Solution

The fourth proportional to 307,514.40, 461,271.60 and 305,440.80 is: 458,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,514.40 : 461,271.60 = 305,440.80 : x
  2. Step 2: Convert to fraction form
    307,514.40/461,271.60 = 305,440.80/x
  3. Step 3: Cross multiply
    307,514.40x = 461,271.60 × 305,440.80
  4. Step 4: Simplify right side
    307,514.40x = 140,891,166,521.28
  5. Step 5: Solve for x
    x = 140,891,166,521.28/307,514.40
  6. Step 6: Final answer
    x = 458,161.20

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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.