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Finding the Fourth Proportional to 317,408.25, 476,140.32 and 117,730.83

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Solution

The fourth proportional to 317,408.25, 476,140.32 and 117,730.83 is: 176,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,408.25 : 476,140.32 = 117,730.83 : x
  2. Step 2: Convert to fraction form
    317,408.25/476,140.32 = 117,730.83/x
  3. Step 3: Cross multiply
    317,408.25x = 476,140.32 × 117,730.83
  4. Step 4: Simplify right side
    317,408.25x = 56,056,395,070.07
  5. Step 5: Solve for x
    x = 56,056,395,070.07/317,408.25
  6. Step 6: Final answer
    x = 176,606.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.