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Finding the Fourth Proportional to 549,679.82, 824,498.16 and 229,749.06

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Solution

The fourth proportional to 549,679.82, 824,498.16 and 229,749.06 is: 344,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,679.82 : 824,498.16 = 229,749.06 : x
  2. Step 2: Convert to fraction form
    549,679.82/824,498.16 = 229,749.06/x
  3. Step 3: Cross multiply
    549,679.82x = 824,498.16 × 229,749.06
  4. Step 4: Simplify right side
    549,679.82x = 189,427,677,231.73
  5. Step 5: Solve for x
    x = 189,427,677,231.73/549,679.82
  6. Step 6: Final answer
    x = 344,614.57

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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.