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Finding the Fourth Proportional to 295,261.34, 407,250.70 and 197,095.08

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Solution

The fourth proportional to 295,261.34, 407,250.70 and 197,095.08 is: 271,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,261.34 : 407,250.70 = 197,095.08 : x
  2. Step 2: Convert to fraction form
    295,261.34/407,250.70 = 197,095.08/x
  3. Step 3: Cross multiply
    295,261.34x = 407,250.70 × 197,095.08
  4. Step 4: Simplify right side
    295,261.34x = 80,267,109,296.56
  5. Step 5: Solve for x
    x = 80,267,109,296.56/295,261.34
  6. Step 6: Final answer
    x = 271,851.06

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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.