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Finding the Fourth Proportional to 311,530.24, 429,911.88 and 168,290.24

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Solution

The fourth proportional to 311,530.24, 429,911.88 and 168,290.24 is: 232,240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,530.24 : 429,911.88 = 168,290.24 : x
  2. Step 2: Convert to fraction form
    311,530.24/429,911.88 = 168,290.24/x
  3. Step 3: Cross multiply
    311,530.24x = 429,911.88 × 168,290.24
  4. Step 4: Simplify right side
    311,530.24x = 72,349,973,464.05
  5. Step 5: Solve for x
    x = 72,349,973,464.05/311,530.24
  6. Step 6: Final answer
    x = 232,240.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.