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Finding the Fourth Proportional to 295,771.20, 443,000.70 and 256,405.20

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Solution

The fourth proportional to 295,771.20, 443,000.70 and 256,405.20 is: 384,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,771.20 : 443,000.70 = 256,405.20 : x
  2. Step 2: Convert to fraction form
    295,771.20/443,000.70 = 256,405.20/x
  3. Step 3: Cross multiply
    295,771.20x = 443,000.70 × 256,405.20
  4. Step 4: Simplify right side
    295,771.20x = 113,587,683,083.64
  5. Step 5: Solve for x
    x = 113,587,683,083.64/295,771.20
  6. Step 6: Final answer
    x = 384,039.02

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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.