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Finding the Fourth Proportional to 271,262.40, 406,893.60 and 257,438.40

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Solution

The fourth proportional to 271,262.40, 406,893.60 and 257,438.40 is: 386,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,262.40 : 406,893.60 = 257,438.40 : x
  2. Step 2: Convert to fraction form
    271,262.40/406,893.60 = 257,438.40/x
  3. Step 3: Cross multiply
    271,262.40x = 406,893.60 × 257,438.40
  4. Step 4: Simplify right side
    271,262.40x = 104,750,037,354.24
  5. Step 5: Solve for x
    x = 104,750,037,354.24/271,262.40
  6. Step 6: Final answer
    x = 386,157.60

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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.