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Finding the Fourth Proportional to 463,573.12, 639,678 and 259,595.68

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Solution

The fourth proportional to 463,573.12, 639,678 and 259,595.68 is: 358,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,573.12 : 639,678 = 259,595.68 : x
  2. Step 2: Convert to fraction form
    463,573.12/639,678 = 259,595.68/x
  3. Step 3: Cross multiply
    463,573.12x = 639,678 × 259,595.68
  4. Step 4: Simplify right side
    463,573.12x = 166,057,645,391.04
  5. Step 5: Solve for x
    x = 166,057,645,391.04/463,573.12
  6. Step 6: Final answer
    x = 358,212.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.