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Finding the Fourth Proportional to 296,041.50, 408,546.99 and 161,905.50

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Solution

The fourth proportional to 296,041.50, 408,546.99 and 161,905.50 is: 223,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,041.50 : 408,546.99 = 161,905.50 : x
  2. Step 2: Convert to fraction form
    296,041.50/408,546.99 = 161,905.50/x
  3. Step 3: Cross multiply
    296,041.50x = 408,546.99 × 161,905.50
  4. Step 4: Simplify right side
    296,041.50x = 66,146,004,689.45
  5. Step 5: Solve for x
    x = 66,146,004,689.45/296,041.50
  6. Step 6: Final answer
    x = 223,434.91

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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.