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Finding the Fourth Proportional to 316,280.40, 474,485.40 and 106,069.20

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Solution

The fourth proportional to 316,280.40, 474,485.40 and 106,069.20 is: 159,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,280.40 : 474,485.40 = 106,069.20 : x
  2. Step 2: Convert to fraction form
    316,280.40/474,485.40 = 106,069.20/x
  3. Step 3: Cross multiply
    316,280.40x = 474,485.40 × 106,069.20
  4. Step 4: Simplify right side
    316,280.40x = 50,328,286,789.68
  5. Step 5: Solve for x
    x = 50,328,286,789.68/316,280.40
  6. Step 6: Final answer
    x = 159,125.53

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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.