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Finding the Fourth Proportional to 416,213.40, 623,955.60 and 282,660.60

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Solution

The fourth proportional to 416,213.40, 623,955.60 and 282,660.60 is: 423,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.40 : 623,955.60 = 282,660.60 : x
  2. Step 2: Convert to fraction form
    416,213.40/623,955.60 = 282,660.60/x
  3. Step 3: Cross multiply
    416,213.40x = 623,955.60 × 282,660.60
  4. Step 4: Simplify right side
    416,213.40x = 176,367,664,269.36
  5. Step 5: Solve for x
    x = 176,367,664,269.36/416,213.40
  6. Step 6: Final answer
    x = 423,743.36

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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.