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Finding the Fourth Proportional to 463,744.14, 639,966.90 and 262,540.14

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Solution

The fourth proportional to 463,744.14, 639,966.90 and 262,540.14 is: 362,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,744.14 : 639,966.90 = 262,540.14 : x
  2. Step 2: Convert to fraction form
    463,744.14/639,966.90 = 262,540.14/x
  3. Step 3: Cross multiply
    463,744.14x = 639,966.90 × 262,540.14
  4. Step 4: Simplify right side
    463,744.14x = 168,016,999,521.37
  5. Step 5: Solve for x
    x = 168,016,999,521.37/463,744.14
  6. Step 6: Final answer
    x = 362,305.39

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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.