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Finding the Fourth Proportional to 549,425.84, 824,231.41 and 189,500.42

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Solution

The fourth proportional to 549,425.84, 824,231.41 and 189,500.42 is: 284,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,425.84 : 824,231.41 = 189,500.42 : x
  2. Step 2: Convert to fraction form
    549,425.84/824,231.41 = 189,500.42/x
  3. Step 3: Cross multiply
    549,425.84x = 824,231.41 × 189,500.42
  4. Step 4: Simplify right side
    549,425.84x = 156,192,199,959.02
  5. Step 5: Solve for x
    x = 156,192,199,959.02/549,425.84
  6. Step 6: Final answer
    x = 284,282.59

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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.