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Finding the Fourth Proportional to 311,953.40, 467,930.10 and 112,280.30

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Solution

The fourth proportional to 311,953.40, 467,930.10 and 112,280.30 is: 168,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,953.40 : 467,930.10 = 112,280.30 : x
  2. Step 2: Convert to fraction form
    311,953.40/467,930.10 = 112,280.30/x
  3. Step 3: Cross multiply
    311,953.40x = 467,930.10 × 112,280.30
  4. Step 4: Simplify right side
    311,953.40x = 52,539,332,007.03
  5. Step 5: Solve for x
    x = 52,539,332,007.03/311,953.40
  6. Step 6: Final answer
    x = 168,420.45

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1.5x scale

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.