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Finding the Fourth Proportional to 235,461, 353,191.07 and 193,739.24

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Solution

The fourth proportional to 235,461, 353,191.07 and 193,739.24 is: 290,608.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,461 : 353,191.07 = 193,739.24 : x
  2. Step 2: Convert to fraction form
    235,461/353,191.07 = 193,739.24/x
  3. Step 3: Cross multiply
    235,461x = 353,191.07 × 193,739.24
  4. Step 4: Simplify right side
    235,461x = 68,426,969,476.59
  5. Step 5: Solve for x
    x = 68,426,969,476.59/235,461
  6. Step 6: Final answer
    x = 290,608.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.