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Finding the Fourth Proportional to 306,026.80, 459,040.20 and 164,309.20

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Solution

The fourth proportional to 306,026.80, 459,040.20 and 164,309.20 is: 246,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,026.80 : 459,040.20 = 164,309.20 : x
  2. Step 2: Convert to fraction form
    306,026.80/459,040.20 = 164,309.20/x
  3. Step 3: Cross multiply
    306,026.80x = 459,040.20 × 164,309.20
  4. Step 4: Simplify right side
    306,026.80x = 75,424,528,029.84
  5. Step 5: Solve for x
    x = 75,424,528,029.84/306,026.80
  6. Step 6: Final answer
    x = 246,463.80

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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.