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Finding the Fourth Proportional to 283,294.60, 424,941.90 and 165,099.40

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Solution

The fourth proportional to 283,294.60, 424,941.90 and 165,099.40 is: 247,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,294.60 : 424,941.90 = 165,099.40 : x
  2. Step 2: Convert to fraction form
    283,294.60/424,941.90 = 165,099.40/x
  3. Step 3: Cross multiply
    283,294.60x = 424,941.90 × 165,099.40
  4. Step 4: Simplify right side
    283,294.60x = 70,157,652,724.86
  5. Step 5: Solve for x
    x = 70,157,652,724.86/283,294.60
  6. Step 6: Final answer
    x = 247,649.10

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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.