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Finding the Fourth Proportional to 296,069.87, 408,575.58 and 160,102.86

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Solution

The fourth proportional to 296,069.87, 408,575.58 and 160,102.86 is: 220,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,069.87 : 408,575.58 = 160,102.86 : x
  2. Step 2: Convert to fraction form
    296,069.87/408,575.58 = 160,102.86/x
  3. Step 3: Cross multiply
    296,069.87x = 408,575.58 × 160,102.86
  4. Step 4: Simplify right side
    296,069.87x = 65,414,118,884.16
  5. Step 5: Solve for x
    x = 65,414,118,884.16/296,069.87
  6. Step 6: Final answer
    x = 220,941.50

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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.