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Finding the Fourth Proportional to 397,702.60, 596,093.10 and 160,928.20

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Solution

The fourth proportional to 397,702.60, 596,093.10 and 160,928.20 is: 241,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,702.60 : 596,093.10 = 160,928.20 : x
  2. Step 2: Convert to fraction form
    397,702.60/596,093.10 = 160,928.20/x
  3. Step 3: Cross multiply
    397,702.60x = 596,093.10 × 160,928.20
  4. Step 4: Simplify right side
    397,702.60x = 95,928,189,615.42
  5. Step 5: Solve for x
    x = 95,928,189,615.42/397,702.60
  6. Step 6: Final answer
    x = 241,205.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.