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Finding the Fourth Proportional to 549,389.53, 823,914.80 and 194,321.87

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Solution

The fourth proportional to 549,389.53, 823,914.80 and 194,321.87 is: 291,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,389.53 : 823,914.80 = 194,321.87 : x
  2. Step 2: Convert to fraction form
    549,389.53/823,914.80 = 194,321.87/x
  3. Step 3: Cross multiply
    549,389.53x = 823,914.80 × 194,321.87
  4. Step 4: Simplify right side
    549,389.53x = 160,104,665,744.85
  5. Step 5: Solve for x
    x = 160,104,665,744.85/549,389.53
  6. Step 6: Final answer
    x = 291,422.86

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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.