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Finding the Fourth Proportional to 397,538.40, 595,846.80 and 160,725.60

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Solution

The fourth proportional to 397,538.40, 595,846.80 and 160,725.60 is: 240,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,538.40 : 595,846.80 = 160,725.60 : x
  2. Step 2: Convert to fraction form
    397,538.40/595,846.80 = 160,725.60/x
  3. Step 3: Cross multiply
    397,538.40x = 595,846.80 × 160,725.60
  4. Step 4: Simplify right side
    397,538.40x = 95,767,834,438.08
  5. Step 5: Solve for x
    x = 95,767,834,438.08/397,538.40
  6. Step 6: Final answer
    x = 240,902.10

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1.5x scale

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.