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Finding the Fourth Proportional to 549,697.70, 824,546.55 and 194,723.30

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Solution

The fourth proportional to 549,697.70, 824,546.55 and 194,723.30 is: 292,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,697.70 : 824,546.55 = 194,723.30 : x
  2. Step 2: Convert to fraction form
    549,697.70/824,546.55 = 194,723.30/x
  3. Step 3: Cross multiply
    549,697.70x = 824,546.55 × 194,723.30
  4. Step 4: Simplify right side
    549,697.70x = 160,558,425,219.62
  5. Step 5: Solve for x
    x = 160,558,425,219.62/549,697.70
  6. Step 6: Final answer
    x = 292,084.95

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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.