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Finding the Fourth Proportional to 311,311.60, 466,967.40 and 185,340.40

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Solution

The fourth proportional to 311,311.60, 466,967.40 and 185,340.40 is: 278,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,311.60 : 466,967.40 = 185,340.40 : x
  2. Step 2: Convert to fraction form
    311,311.60/466,967.40 = 185,340.40/x
  3. Step 3: Cross multiply
    311,311.60x = 466,967.40 × 185,340.40
  4. Step 4: Simplify right side
    311,311.60x = 86,547,924,702.96
  5. Step 5: Solve for x
    x = 86,547,924,702.96/311,311.60
  6. Step 6: Final answer
    x = 278,010.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.