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Finding the Fourth Proportional to 549,654.12, 824,348.57 and 229,633.11

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Solution

The fourth proportional to 549,654.12, 824,348.57 and 229,633.11 is: 344,394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,654.12 : 824,348.57 = 229,633.11 : x
  2. Step 2: Convert to fraction form
    549,654.12/824,348.57 = 229,633.11/x
  3. Step 3: Cross multiply
    549,654.12x = 824,348.57 × 229,633.11
  4. Step 4: Simplify right side
    549,654.12x = 189,297,724,704.99
  5. Step 5: Solve for x
    x = 189,297,724,704.99/549,654.12
  6. Step 6: Final answer
    x = 344,394.26

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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.