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Finding the Fourth Proportional to 271,830.96, 407,495.16 and 249,408.72

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Solution

The fourth proportional to 271,830.96, 407,495.16 and 249,408.72 is: 373,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,830.96 : 407,495.16 = 249,408.72 : x
  2. Step 2: Convert to fraction form
    271,830.96/407,495.16 = 249,408.72/x
  3. Step 3: Cross multiply
    271,830.96x = 407,495.16 × 249,408.72
  4. Step 4: Simplify right side
    271,830.96x = 101,632,846,261.80
  5. Step 5: Solve for x
    x = 101,632,846,261.80/271,830.96
  6. Step 6: Final answer
    x = 373,882.53

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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.