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Finding the Fourth Proportional to 286,147.46, 429,311.41 and 179,605.53

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Solution

The fourth proportional to 286,147.46, 429,311.41 and 179,605.53 is: 269,464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,147.46 : 429,311.41 = 179,605.53 : x
  2. Step 2: Convert to fraction form
    286,147.46/429,311.41 = 179,605.53/x
  3. Step 3: Cross multiply
    286,147.46x = 429,311.41 × 179,605.53
  4. Step 4: Simplify right side
    286,147.46x = 77,106,702,879.08
  5. Step 5: Solve for x
    x = 77,106,702,879.08/286,147.46
  6. Step 6: Final answer
    x = 269,464.92

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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.