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Finding the Fourth Proportional to 295,686.54, 408,047.60 and 159,720.50

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Solution

The fourth proportional to 295,686.54, 408,047.60 and 159,720.50 is: 220,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,686.54 : 408,047.60 = 159,720.50 : x
  2. Step 2: Convert to fraction form
    295,686.54/408,047.60 = 159,720.50/x
  3. Step 3: Cross multiply
    295,686.54x = 408,047.60 × 159,720.50
  4. Step 4: Simplify right side
    295,686.54x = 65,173,566,695.80
  5. Step 5: Solve for x
    x = 65,173,566,695.80/295,686.54
  6. Step 6: Final answer
    x = 220,414.38

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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.