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Finding the Fourth Proportional to 549,427.40, 824,234.14 and 189,500.52

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Solution

The fourth proportional to 549,427.40, 824,234.14 and 189,500.52 is: 284,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,427.40 : 824,234.14 = 189,500.52 : x
  2. Step 2: Convert to fraction form
    549,427.40/824,234.14 = 189,500.52/x
  3. Step 3: Cross multiply
    549,427.40x = 824,234.14 × 189,500.52
  4. Step 4: Simplify right side
    549,427.40x = 156,192,798,131.75
  5. Step 5: Solve for x
    x = 156,192,798,131.75/549,427.40
  6. Step 6: Final answer
    x = 284,282.87

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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.