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Finding the Fourth Proportional to 549,094.96, 823,617.90 and 149,735.80

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Solution

The fourth proportional to 549,094.96, 823,617.90 and 149,735.80 is: 224,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,094.96 : 823,617.90 = 149,735.80 : x
  2. Step 2: Convert to fraction form
    549,094.96/823,617.90 = 149,735.80/x
  3. Step 3: Cross multiply
    549,094.96x = 823,617.90 × 149,735.80
  4. Step 4: Simplify right side
    549,094.96x = 123,325,085,150.82
  5. Step 5: Solve for x
    x = 123,325,085,150.82/549,094.96
  6. Step 6: Final answer
    x = 224,597.01

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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.