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Finding the Fourth Proportional to 367,214.58, 550,378.98 and 189,624.78

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Solution

The fourth proportional to 367,214.58, 550,378.98 and 189,624.78 is: 284,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,214.58 : 550,378.98 = 189,624.78 : x
  2. Step 2: Convert to fraction form
    367,214.58/550,378.98 = 189,624.78/x
  3. Step 3: Cross multiply
    367,214.58x = 550,378.98 × 189,624.78
  4. Step 4: Simplify right side
    367,214.58x = 104,365,492,999.12
  5. Step 5: Solve for x
    x = 104,365,492,999.12/367,214.58
  6. Step 6: Final answer
    x = 284,208.47

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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.