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Finding the Fourth Proportional to 383,851.47, 529,712.06 and 211,776.69

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Solution

The fourth proportional to 383,851.47, 529,712.06 and 211,776.69 is: 292,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,851.47 : 529,712.06 = 211,776.69 : x
  2. Step 2: Convert to fraction form
    383,851.47/529,712.06 = 211,776.69/x
  3. Step 3: Cross multiply
    383,851.47x = 529,712.06 × 211,776.69
  4. Step 4: Simplify right side
    383,851.47x = 112,180,665,659.98
  5. Step 5: Solve for x
    x = 112,180,665,659.98/383,851.47
  6. Step 6: Final answer
    x = 292,250.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.