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Finding the Fourth Proportional to 406,857.60, 609,865.20 and 182,325.60

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Solution

The fourth proportional to 406,857.60, 609,865.20 and 182,325.60 is: 273,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,857.60 : 609,865.20 = 182,325.60 : x
  2. Step 2: Convert to fraction form
    406,857.60/609,865.20 = 182,325.60/x
  3. Step 3: Cross multiply
    406,857.60x = 609,865.20 × 182,325.60
  4. Step 4: Simplify right side
    406,857.60x = 111,194,038,509.12
  5. Step 5: Solve for x
    x = 111,194,038,509.12/406,857.60
  6. Step 6: Final answer
    x = 273,299.65

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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.