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Finding the Fourth Proportional to 297,617.59, 410,715.84 and 161,653.15

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Solution

The fourth proportional to 297,617.59, 410,715.84 and 161,653.15 is: 223,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,617.59 : 410,715.84 = 161,653.15 : x
  2. Step 2: Convert to fraction form
    297,617.59/410,715.84 = 161,653.15/x
  3. Step 3: Cross multiply
    297,617.59x = 410,715.84 × 161,653.15
  4. Step 4: Simplify right side
    297,617.59x = 66,393,509,290.90
  5. Step 5: Solve for x
    x = 66,393,509,290.90/297,617.59
  6. Step 6: Final answer
    x = 223,083.28

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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.