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Finding the Fourth Proportional to 492,355.60, 738,533.40 and 281,845.24

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Solution

The fourth proportional to 492,355.60, 738,533.40 and 281,845.24 is: 422,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,355.60 : 738,533.40 = 281,845.24 : x
  2. Step 2: Convert to fraction form
    492,355.60/738,533.40 = 281,845.24/x
  3. Step 3: Cross multiply
    492,355.60x = 738,533.40 × 281,845.24
  4. Step 4: Simplify right side
    492,355.60x = 208,152,123,371.02
  5. Step 5: Solve for x
    x = 208,152,123,371.02/492,355.60
  6. Step 6: Final answer
    x = 422,767.86

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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.