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Finding the Fourth Proportional to 311,282.60, 466,923.90 and 185,311.40

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Solution

The fourth proportional to 311,282.60, 466,923.90 and 185,311.40 is: 277,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,282.60 : 466,923.90 = 185,311.40 : x
  2. Step 2: Convert to fraction form
    311,282.60/466,923.90 = 185,311.40/x
  3. Step 3: Cross multiply
    311,282.60x = 466,923.90 × 185,311.40
  4. Step 4: Simplify right side
    311,282.60x = 86,526,321,602.46
  5. Step 5: Solve for x
    x = 86,526,321,602.46/311,282.60
  6. Step 6: Final answer
    x = 277,967.10

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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.