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Finding the Fourth Proportional to 291,220.34, 402,008.07 and 195,782.39

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Solution

The fourth proportional to 291,220.34, 402,008.07 and 195,782.39 is: 270,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,220.34 : 402,008.07 = 195,782.39 : x
  2. Step 2: Convert to fraction form
    291,220.34/402,008.07 = 195,782.39/x
  3. Step 3: Cross multiply
    291,220.34x = 402,008.07 × 195,782.39
  4. Step 4: Simplify right side
    291,220.34x = 78,706,100,743.89
  5. Step 5: Solve for x
    x = 78,706,100,743.89/291,220.34
  6. Step 6: Final answer
    x = 270,263.06

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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.