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Finding the Fourth Proportional to 470,002.10, 648,604.22 and 255,142.31

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Solution

The fourth proportional to 470,002.10, 648,604.22 and 255,142.31 is: 352,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,002.10 : 648,604.22 = 255,142.31 : x
  2. Step 2: Convert to fraction form
    470,002.10/648,604.22 = 255,142.31/x
  3. Step 3: Cross multiply
    470,002.10x = 648,604.22 × 255,142.31
  4. Step 4: Simplify right side
    470,002.10x = 165,486,374,447.82
  5. Step 5: Solve for x
    x = 165,486,374,447.82/470,002.10
  6. Step 6: Final answer
    x = 352,097.10

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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.