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Finding the Fourth Proportional to 366,573, 549,984.24 and 206,455.44

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Solution

The fourth proportional to 366,573, 549,984.24 and 206,455.44 is: 309,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,573 : 549,984.24 = 206,455.44 : x
  2. Step 2: Convert to fraction form
    366,573/549,984.24 = 206,455.44/x
  3. Step 3: Cross multiply
    366,573x = 549,984.24 × 206,455.44
  4. Step 4: Simplify right side
    366,573x = 113,547,238,262.27
  5. Step 5: Solve for x
    x = 113,547,238,262.27/366,573
  6. Step 6: Final answer
    x = 309,753.41

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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.