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Finding the Fourth Proportional to 311,024.60, 466,536.90 and 100,813.40

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Solution

The fourth proportional to 311,024.60, 466,536.90 and 100,813.40 is: 151,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,024.60 : 466,536.90 = 100,813.40 : x
  2. Step 2: Convert to fraction form
    311,024.60/466,536.90 = 100,813.40/x
  3. Step 3: Cross multiply
    311,024.60x = 466,536.90 × 100,813.40
  4. Step 4: Simplify right side
    311,024.60x = 47,033,171,114.46
  5. Step 5: Solve for x
    x = 47,033,171,114.46/311,024.60
  6. Step 6: Final answer
    x = 151,220.10

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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.