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Finding the Fourth Proportional to 361,408.38, 498,708.06 and 208,460.58

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Solution

The fourth proportional to 361,408.38, 498,708.06 and 208,460.58 is: 287,655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,408.38 : 498,708.06 = 208,460.58 : x
  2. Step 2: Convert to fraction form
    361,408.38/498,708.06 = 208,460.58/x
  3. Step 3: Cross multiply
    361,408.38x = 498,708.06 × 208,460.58
  4. Step 4: Simplify right side
    361,408.38x = 103,960,971,438.28
  5. Step 5: Solve for x
    x = 103,960,971,438.28/361,408.38
  6. Step 6: Final answer
    x = 287,655.12

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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.