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Finding the Fourth Proportional to 470,180.98, 648,852.16 and 255,321.05

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Solution

The fourth proportional to 470,180.98, 648,852.16 and 255,321.05 is: 352,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,180.98 : 648,852.16 = 255,321.05 : x
  2. Step 2: Convert to fraction form
    470,180.98/648,852.16 = 255,321.05/x
  3. Step 3: Cross multiply
    470,180.98x = 648,852.16 × 255,321.05
  4. Step 4: Simplify right side
    470,180.98x = 165,665,613,760.43
  5. Step 5: Solve for x
    x = 165,665,613,760.43/470,180.98
  6. Step 6: Final answer
    x = 352,344.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.