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Finding the Fourth Proportional to 549,103.86, 824,188.41 and 264,994.36

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Solution

The fourth proportional to 549,103.86, 824,188.41 and 264,994.36 is: 397,748.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,103.86 : 824,188.41 = 264,994.36 : x
  2. Step 2: Convert to fraction form
    549,103.86/824,188.41 = 264,994.36/x
  3. Step 3: Cross multiply
    549,103.86x = 824,188.41 × 264,994.36
  4. Step 4: Simplify right side
    549,103.86x = 218,405,278,166.90
  5. Step 5: Solve for x
    x = 218,405,278,166.90/549,103.86
  6. Step 6: Final answer
    x = 397,748.58

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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.