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Finding the Fourth Proportional to 549,469.86, 824,110.29 and 165,212.88

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Solution

The fourth proportional to 549,469.86, 824,110.29 and 165,212.88 is: 247,790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,469.86 : 824,110.29 = 165,212.88 : x
  2. Step 2: Convert to fraction form
    549,469.86/824,110.29 = 165,212.88/x
  3. Step 3: Cross multiply
    549,469.86x = 824,110.29 × 165,212.88
  4. Step 4: Simplify right side
    549,469.86x = 136,153,634,448.54
  5. Step 5: Solve for x
    x = 136,153,634,448.54/549,469.86
  6. Step 6: Final answer
    x = 247,790.91

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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.