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Finding the Fourth Proportional to 315,913.80, 474,000.30 and 116,329.80

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Solution

The fourth proportional to 315,913.80, 474,000.30 and 116,329.80 is: 174,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,913.80 : 474,000.30 = 116,329.80 : x
  2. Step 2: Convert to fraction form
    315,913.80/474,000.30 = 116,329.80/x
  3. Step 3: Cross multiply
    315,913.80x = 474,000.30 × 116,329.80
  4. Step 4: Simplify right side
    315,913.80x = 55,140,360,098.94
  5. Step 5: Solve for x
    x = 55,140,360,098.94/315,913.80
  6. Step 6: Final answer
    x = 174,542.42

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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.