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Finding the Fourth Proportional to 549,741.68, 824,894.67 and 261,879.32

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Solution

The fourth proportional to 549,741.68, 824,894.67 and 261,879.32 is: 392,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,741.68 : 824,894.67 = 261,879.32 : x
  2. Step 2: Convert to fraction form
    549,741.68/824,894.67 = 261,879.32/x
  3. Step 3: Cross multiply
    549,741.68x = 824,894.67 × 261,879.32
  4. Step 4: Simplify right side
    549,741.68x = 216,022,855,251.22
  5. Step 5: Solve for x
    x = 216,022,855,251.22/549,741.68
  6. Step 6: Final answer
    x = 392,953.39

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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.