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Finding the Fourth Proportional to 549,558.38, 824,242.40 and 165,301.68

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Solution

The fourth proportional to 549,558.38, 824,242.40 and 165,301.68 is: 247,923.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,558.38 : 824,242.40 = 165,301.68 : x
  2. Step 2: Convert to fraction form
    549,558.38/824,242.40 = 165,301.68/x
  3. Step 3: Cross multiply
    549,558.38x = 824,242.40 × 165,301.68
  4. Step 4: Simplify right side
    549,558.38x = 136,248,653,447.23
  5. Step 5: Solve for x
    x = 136,248,653,447.23/549,558.38
  6. Step 6: Final answer
    x = 247,923.89

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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.