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Finding the Fourth Proportional to 295,743.54, 408,126.26 and 159,777.45

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Solution

The fourth proportional to 295,743.54, 408,126.26 and 159,777.45 is: 220,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,743.54 : 408,126.26 = 159,777.45 : x
  2. Step 2: Convert to fraction form
    295,743.54/408,126.26 = 159,777.45/x
  3. Step 3: Cross multiply
    295,743.54x = 408,126.26 × 159,777.45
  4. Step 4: Simplify right side
    295,743.54x = 65,209,373,100.84
  5. Step 5: Solve for x
    x = 65,209,373,100.84/295,743.54
  6. Step 6: Final answer
    x = 220,492.98

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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.