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Finding the Fourth Proportional to 406,041.40, 609,234.90 and 256,396.60

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Solution

The fourth proportional to 406,041.40, 609,234.90 and 256,396.60 is: 384,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,041.40 : 609,234.90 = 256,396.60 : x
  2. Step 2: Convert to fraction form
    406,041.40/609,234.90 = 256,396.60/x
  3. Step 3: Cross multiply
    406,041.40x = 609,234.90 × 256,396.60
  4. Step 4: Simplify right side
    406,041.40x = 156,205,756,961.34
  5. Step 5: Solve for x
    x = 156,205,756,961.34/406,041.40
  6. Step 6: Final answer
    x = 384,704.02

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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.