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Finding the Fourth Proportional to 291,264.76, 402,069.74 and 195,826.80

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Solution

The fourth proportional to 291,264.76, 402,069.74 and 195,826.80 is: 270,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,264.76 : 402,069.74 = 195,826.80 : x
  2. Step 2: Convert to fraction form
    291,264.76/402,069.74 = 195,826.80/x
  3. Step 3: Cross multiply
    291,264.76x = 402,069.74 × 195,826.80
  4. Step 4: Simplify right side
    291,264.76x = 78,736,030,561.03
  5. Step 5: Solve for x
    x = 78,736,030,561.03/291,264.76
  6. Step 6: Final answer
    x = 270,324.60

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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.