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Finding the Fourth Proportional to 463,674.20, 639,894.42 and 259,713.20

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Solution

The fourth proportional to 463,674.20, 639,894.42 and 259,713.20 is: 358,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,674.20 : 639,894.42 = 259,713.20 : x
  2. Step 2: Convert to fraction form
    463,674.20/639,894.42 = 259,713.20/x
  3. Step 3: Cross multiply
    463,674.20x = 639,894.42 × 259,713.20
  4. Step 4: Simplify right side
    463,674.20x = 166,189,027,480.34
  5. Step 5: Solve for x
    x = 166,189,027,480.34/463,674.20
  6. Step 6: Final answer
    x = 358,417.67

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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.