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Finding the Fourth Proportional to 311,051.70, 466,577.55 and 211,518.90

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Solution

The fourth proportional to 311,051.70, 466,577.55 and 211,518.90 is: 317,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,051.70 : 466,577.55 = 211,518.90 : x
  2. Step 2: Convert to fraction form
    311,051.70/466,577.55 = 211,518.90/x
  3. Step 3: Cross multiply
    311,051.70x = 466,577.55 × 211,518.90
  4. Step 4: Simplify right side
    311,051.70x = 98,689,970,140.70
  5. Step 5: Solve for x
    x = 98,689,970,140.70/311,051.70
  6. Step 6: Final answer
    x = 317,278.35

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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.