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Finding the Fourth Proportional to 368,882.88, 509,052.96 and 207,738.24

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Solution

The fourth proportional to 368,882.88, 509,052.96 and 207,738.24 is: 286,675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,882.88 : 509,052.96 = 207,738.24 : x
  2. Step 2: Convert to fraction form
    368,882.88/509,052.96 = 207,738.24/x
  3. Step 3: Cross multiply
    368,882.88x = 509,052.96 × 207,738.24
  4. Step 4: Simplify right side
    368,882.88x = 105,749,765,977.19
  5. Step 5: Solve for x
    x = 105,749,765,977.19/368,882.88
  6. Step 6: Final answer
    x = 286,675.72

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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.