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Finding the Fourth Proportional to 279,415.38, 417,094.49 and 258,599.46

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Solution

The fourth proportional to 279,415.38, 417,094.49 and 258,599.46 is: 386,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,415.38 : 417,094.49 = 258,599.46 : x
  2. Step 2: Convert to fraction form
    279,415.38/417,094.49 = 258,599.46/x
  3. Step 3: Cross multiply
    279,415.38x = 417,094.49 × 258,599.46
  4. Step 4: Simplify right side
    279,415.38x = 107,860,409,882.98
  5. Step 5: Solve for x
    x = 107,860,409,882.98/279,415.38
  6. Step 6: Final answer
    x = 386,021.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.