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Finding the Fourth Proportional to 549,286.24, 824,013.60 and 233,658.40

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Solution

The fourth proportional to 549,286.24, 824,013.60 and 233,658.40 is: 350,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,286.24 : 824,013.60 = 233,658.40 : x
  2. Step 2: Convert to fraction form
    549,286.24/824,013.60 = 233,658.40/x
  3. Step 3: Cross multiply
    549,286.24x = 824,013.60 × 233,658.40
  4. Step 4: Simplify right side
    549,286.24x = 192,537,699,354.24
  5. Step 5: Solve for x
    x = 192,537,699,354.24/549,286.24
  6. Step 6: Final answer
    x = 350,523.43

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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.