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Finding the Fourth Proportional to 549,099.10, 824,181.30 and 264,989.60

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Solution

The fourth proportional to 549,099.10, 824,181.30 and 264,989.60 is: 397,741.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,099.10 : 824,181.30 = 264,989.60 : x
  2. Step 2: Convert to fraction form
    549,099.10/824,181.30 = 264,989.60/x
  3. Step 3: Cross multiply
    549,099.10x = 824,181.30 × 264,989.60
  4. Step 4: Simplify right side
    549,099.10x = 218,399,473,014.48
  5. Step 5: Solve for x
    x = 218,399,473,014.48/549,099.10
  6. Step 6: Final answer
    x = 397,741.45

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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.