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Finding the Fourth Proportional to 415,563.20, 623,377.20 and 178,913.60

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Solution

The fourth proportional to 415,563.20, 623,377.20 and 178,913.60 is: 268,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,563.20 : 623,377.20 = 178,913.60 : x
  2. Step 2: Convert to fraction form
    415,563.20/623,377.20 = 178,913.60/x
  3. Step 3: Cross multiply
    415,563.20x = 623,377.20 × 178,913.60
  4. Step 4: Simplify right side
    415,563.20x = 111,530,659,009.92
  5. Step 5: Solve for x
    x = 111,530,659,009.92/415,563.20
  6. Step 6: Final answer
    x = 268,384.35

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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.