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Finding the Fourth Proportional to 283,260.30, 424,015.65 and 164,579.10

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Solution

The fourth proportional to 283,260.30, 424,015.65 and 164,579.10 is: 246,360.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,260.30 : 424,015.65 = 164,579.10 : x
  2. Step 2: Convert to fraction form
    283,260.30/424,015.65 = 164,579.10/x
  3. Step 3: Cross multiply
    283,260.30x = 424,015.65 × 164,579.10
  4. Step 4: Simplify right side
    283,260.30x = 69,784,114,062.92
  5. Step 5: Solve for x
    x = 69,784,114,062.92/283,260.30
  6. Step 6: Final answer
    x = 246,360.38

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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.