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Finding the Fourth Proportional to 497,231.60, 746,497.83 and 295,196.54

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Solution

The fourth proportional to 497,231.60, 746,497.83 and 295,196.54 is: 443,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,231.60 : 746,497.83 = 295,196.54 : x
  2. Step 2: Convert to fraction form
    497,231.60/746,497.83 = 295,196.54/x
  3. Step 3: Cross multiply
    497,231.60x = 746,497.83 × 295,196.54
  4. Step 4: Simplify right side
    497,231.60x = 220,363,576,533.51
  5. Step 5: Solve for x
    x = 220,363,576,533.51/497,231.60
  6. Step 6: Final answer
    x = 443,180.96

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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.