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Finding the Fourth Proportional to 297,274.78, 410,187.80 and 168,219.10

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Solution

The fourth proportional to 297,274.78, 410,187.80 and 168,219.10 is: 232,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,274.78 : 410,187.80 = 168,219.10 : x
  2. Step 2: Convert to fraction form
    297,274.78/410,187.80 = 168,219.10/x
  3. Step 3: Cross multiply
    297,274.78x = 410,187.80 × 168,219.10
  4. Step 4: Simplify right side
    297,274.78x = 69,001,422,546.98
  5. Step 5: Solve for x
    x = 69,001,422,546.98/297,274.78
  6. Step 6: Final answer
    x = 232,113.27

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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.