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Finding the Fourth Proportional to 416,330.52, 623,841.60 and 321,792.12

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Solution

The fourth proportional to 416,330.52, 623,841.60 and 321,792.12 is: 482,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,330.52 : 623,841.60 = 321,792.12 : x
  2. Step 2: Convert to fraction form
    416,330.52/623,841.60 = 321,792.12/x
  3. Step 3: Cross multiply
    416,330.52x = 623,841.60 × 321,792.12
  4. Step 4: Simplify right side
    416,330.52x = 200,747,311,008.19
  5. Step 5: Solve for x
    x = 200,747,311,008.19/416,330.52
  6. Step 6: Final answer
    x = 482,182.55

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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.