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Finding the Fourth Proportional to 522,167.50, 783,326 and 198,074.76

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Solution

The fourth proportional to 522,167.50, 783,326 and 198,074.76 is: 297,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,167.50 : 783,326 = 198,074.76 : x
  2. Step 2: Convert to fraction form
    522,167.50/783,326 = 198,074.76/x
  3. Step 3: Cross multiply
    522,167.50x = 783,326 × 198,074.76
  4. Step 4: Simplify right side
    522,167.50x = 155,157,109,451.76
  5. Step 5: Solve for x
    x = 155,157,109,451.76/522,167.50
  6. Step 6: Final answer
    x = 297,140.50

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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.