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Finding the Fourth Proportional to 507,076.92, 759,494.16 and 346,772.96

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Solution

The fourth proportional to 507,076.92, 759,494.16 and 346,772.96 is: 519,392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,076.92 : 759,494.16 = 346,772.96 : x
  2. Step 2: Convert to fraction form
    507,076.92/759,494.16 = 346,772.96/x
  3. Step 3: Cross multiply
    507,076.92x = 759,494.16 × 346,772.96
  4. Step 4: Simplify right side
    507,076.92x = 263,372,037,965.91
  5. Step 5: Solve for x
    x = 263,372,037,965.91/507,076.92
  6. Step 6: Final answer
    x = 519,392.68

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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.