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Finding the Fourth Proportional to 323,510.10, 485,265.15 and 164,077.80

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Solution

The fourth proportional to 323,510.10, 485,265.15 and 164,077.80 is: 246,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,510.10 : 485,265.15 = 164,077.80 : x
  2. Step 2: Convert to fraction form
    323,510.10/485,265.15 = 164,077.80/x
  3. Step 3: Cross multiply
    323,510.10x = 485,265.15 × 164,077.80
  4. Step 4: Simplify right side
    323,510.10x = 79,621,238,228.67
  5. Step 5: Solve for x
    x = 79,621,238,228.67/323,510.10
  6. Step 6: Final answer
    x = 246,116.70

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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.