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Finding the Fourth Proportional to 382,438.80, 573,658.20 and 256,467.60

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Solution

The fourth proportional to 382,438.80, 573,658.20 and 256,467.60 is: 384,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,438.80 : 573,658.20 = 256,467.60 : x
  2. Step 2: Convert to fraction form
    382,438.80/573,658.20 = 256,467.60/x
  3. Step 3: Cross multiply
    382,438.80x = 573,658.20 × 256,467.60
  4. Step 4: Simplify right side
    382,438.80x = 147,124,741,774.32
  5. Step 5: Solve for x
    x = 147,124,741,774.32/382,438.80
  6. Step 6: Final answer
    x = 384,701.40

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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.