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Finding the Fourth Proportional to 334,409.32, 461,478.66 and 189,213.56

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Solution

The fourth proportional to 334,409.32, 461,478.66 and 189,213.56 is: 261,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409.32 : 461,478.66 = 189,213.56 : x
  2. Step 2: Convert to fraction form
    334,409.32/461,478.66 = 189,213.56/x
  3. Step 3: Cross multiply
    334,409.32x = 461,478.66 × 189,213.56
  4. Step 4: Simplify right side
    334,409.32x = 87,318,020,122.63
  5. Step 5: Solve for x
    x = 87,318,020,122.63/334,409.32
  6. Step 6: Final answer
    x = 261,111.20

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1.5x scale

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.