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Finding the Fourth Proportional to 231,462.63, 346,627.76 and 209,024.01

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Solution

The fourth proportional to 231,462.63, 346,627.76 and 209,024.01 is: 313,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,462.63 : 346,627.76 = 209,024.01 : x
  2. Step 2: Convert to fraction form
    231,462.63/346,627.76 = 209,024.01/x
  3. Step 3: Cross multiply
    231,462.63x = 346,627.76 × 209,024.01
  4. Step 4: Simplify right side
    231,462.63x = 72,453,523,327.40
  5. Step 5: Solve for x
    x = 72,453,523,327.40/231,462.63
  6. Step 6: Final answer
    x = 313,024.71

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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.