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Finding the Fourth Proportional to 659,348.84, 989,429.34 and 259,921.64

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Solution

The fourth proportional to 659,348.84, 989,429.34 and 259,921.64 is: 390,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,348.84 : 989,429.34 = 259,921.64 : x
  2. Step 2: Convert to fraction form
    659,348.84/989,429.34 = 259,921.64/x
  3. Step 3: Cross multiply
    659,348.84x = 989,429.34 × 259,921.64
  4. Step 4: Simplify right side
    659,348.84x = 257,174,096,716.92
  5. Step 5: Solve for x
    x = 257,174,096,716.92/659,348.84
  6. Step 6: Final answer
    x = 390,042.54

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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.