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Finding the Fourth Proportional to 463,643.84, 639,844.24 and 259,703.52

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Solution

The fourth proportional to 463,643.84, 639,844.24 and 259,703.52 is: 358,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,643.84 : 639,844.24 = 259,703.52 : x
  2. Step 2: Convert to fraction form
    463,643.84/639,844.24 = 259,703.52/x
  3. Step 3: Cross multiply
    463,643.84x = 639,844.24 × 259,703.52
  4. Step 4: Simplify right side
    463,643.84x = 166,169,801,379.73
  5. Step 5: Solve for x
    x = 166,169,801,379.73/463,643.84
  6. Step 6: Final answer
    x = 358,399.67

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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.