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Finding the Fourth Proportional to 334,562.06, 461,664.96 and 198,572.78

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Solution

The fourth proportional to 334,562.06, 461,664.96 and 198,572.78 is: 274,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,562.06 : 461,664.96 = 198,572.78 : x
  2. Step 2: Convert to fraction form
    334,562.06/461,664.96 = 198,572.78/x
  3. Step 3: Cross multiply
    334,562.06x = 461,664.96 × 198,572.78
  4. Step 4: Simplify right side
    334,562.06x = 91,674,094,535.79
  5. Step 5: Solve for x
    x = 91,674,094,535.79/334,562.06
  6. Step 6: Final answer
    x = 274,012.23

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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.