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Finding the Fourth Proportional to 397,857.96, 549,050.97 and 216,575.10

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Solution

The fourth proportional to 397,857.96, 549,050.97 and 216,575.10 is: 298,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,857.96 : 549,050.97 = 216,575.10 : x
  2. Step 2: Convert to fraction form
    397,857.96/549,050.97 = 216,575.10/x
  3. Step 3: Cross multiply
    397,857.96x = 549,050.97 × 216,575.10
  4. Step 4: Simplify right side
    397,857.96x = 118,910,768,732.85
  5. Step 5: Solve for x
    x = 118,910,768,732.85/397,857.96
  6. Step 6: Final answer
    x = 298,877.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.