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Finding the Fourth Proportional to 549,021.70, 823,532.55 and 194,047.30

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Solution

The fourth proportional to 549,021.70, 823,532.55 and 194,047.30 is: 291,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,021.70 : 823,532.55 = 194,047.30 : x
  2. Step 2: Convert to fraction form
    549,021.70/823,532.55 = 194,047.30/x
  3. Step 3: Cross multiply
    549,021.70x = 823,532.55 × 194,047.30
  4. Step 4: Simplify right side
    549,021.70x = 159,804,267,789.62
  5. Step 5: Solve for x
    x = 159,804,267,789.62/549,021.70
  6. Step 6: Final answer
    x = 291,070.95

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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.