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Finding the Fourth Proportional to 561,039.62, 774,247.21 and 334,641.38

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Solution

The fourth proportional to 561,039.62, 774,247.21 and 334,641.38 is: 461,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,039.62 : 774,247.21 = 334,641.38 : x
  2. Step 2: Convert to fraction form
    561,039.62/774,247.21 = 334,641.38/x
  3. Step 3: Cross multiply
    561,039.62x = 774,247.21 × 334,641.38
  4. Step 4: Simplify right side
    561,039.62x = 259,095,150,107.71
  5. Step 5: Solve for x
    x = 259,095,150,107.71/561,039.62
  6. Step 6: Final answer
    x = 461,812.58

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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.