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Finding the Fourth Proportional to 470,063.36, 648,712.32 and 268,893.44

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Solution

The fourth proportional to 470,063.36, 648,712.32 and 268,893.44 is: 371,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,063.36 : 648,712.32 = 268,893.44 : x
  2. Step 2: Convert to fraction form
    470,063.36/648,712.32 = 268,893.44/x
  3. Step 3: Cross multiply
    470,063.36x = 648,712.32 × 268,893.44
  4. Step 4: Simplify right side
    470,063.36x = 174,434,487,295.18
  5. Step 5: Solve for x
    x = 174,434,487,295.18/470,063.36
  6. Step 6: Final answer
    x = 371,087.18

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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.