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Finding the Fourth Proportional to 340,664.95, 470,128.29 and 195,497.29

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Solution

The fourth proportional to 340,664.95, 470,128.29 and 195,497.29 is: 269,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,664.95 : 470,128.29 = 195,497.29 : x
  2. Step 2: Convert to fraction form
    340,664.95/470,128.29 = 195,497.29/x
  3. Step 3: Cross multiply
    340,664.95x = 470,128.29 × 195,497.29
  4. Step 4: Simplify right side
    340,664.95x = 91,908,806,647.33
  5. Step 5: Solve for x
    x = 91,908,806,647.33/340,664.95
  6. Step 6: Final answer
    x = 269,792.38

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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.