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Finding the Fourth Proportional to 315,940.80, 474,098.40 and 116,401.44

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Solution

The fourth proportional to 315,940.80, 474,098.40 and 116,401.44 is: 174,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,940.80 : 474,098.40 = 116,401.44 : x
  2. Step 2: Convert to fraction form
    315,940.80/474,098.40 = 116,401.44/x
  3. Step 3: Cross multiply
    315,940.80x = 474,098.40 × 116,401.44
  4. Step 4: Simplify right side
    315,940.80x = 55,185,736,461.70
  5. Step 5: Solve for x
    x = 55,185,736,461.70/315,940.80
  6. Step 6: Final answer
    x = 174,671.13

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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.