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Finding the Fourth Proportional to 317,586.36, 476,431.38 and 117,907.32

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Solution

The fourth proportional to 317,586.36, 476,431.38 and 117,907.32 is: 176,880.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,586.36 : 476,431.38 = 117,907.32 : x
  2. Step 2: Convert to fraction form
    317,586.36/476,431.38 = 117,907.32/x
  3. Step 3: Cross multiply
    317,586.36x = 476,431.38 × 117,907.32
  4. Step 4: Simplify right side
    317,586.36x = 56,174,747,179.70
  5. Step 5: Solve for x
    x = 56,174,747,179.70/317,586.36
  6. Step 6: Final answer
    x = 176,880.23

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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.