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Finding the Fourth Proportional to 470,215.26, 649,339.74 and 327,365.82

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Solution

The fourth proportional to 470,215.26, 649,339.74 and 327,365.82 is: 452,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,215.26 : 649,339.74 = 327,365.82 : x
  2. Step 2: Convert to fraction form
    470,215.26/649,339.74 = 327,365.82/x
  3. Step 3: Cross multiply
    470,215.26x = 649,339.74 × 327,365.82
  4. Step 4: Simplify right side
    470,215.26x = 212,571,636,443.69
  5. Step 5: Solve for x
    x = 212,571,636,443.69/470,215.26
  6. Step 6: Final answer
    x = 452,073.03

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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.