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Finding the Fourth Proportional to 470,115.21, 648,770.27 and 255,264.33

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Solution

The fourth proportional to 470,115.21, 648,770.27 and 255,264.33 is: 352,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,115.21 : 648,770.27 = 255,264.33 : x
  2. Step 2: Convert to fraction form
    470,115.21/648,770.27 = 255,264.33/x
  3. Step 3: Cross multiply
    470,115.21x = 648,770.27 × 255,264.33
  4. Step 4: Simplify right side
    470,115.21x = 165,607,907,019.15
  5. Step 5: Solve for x
    x = 165,607,907,019.15/470,115.21
  6. Step 6: Final answer
    x = 352,270.90

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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.