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Finding the Fourth Proportional to 311,083.80, 466,352.10 and 184,411.80

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Solution

The fourth proportional to 311,083.80, 466,352.10 and 184,411.80 is: 276,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,083.80 : 466,352.10 = 184,411.80 : x
  2. Step 2: Convert to fraction form
    311,083.80/466,352.10 = 184,411.80/x
  3. Step 3: Cross multiply
    311,083.80x = 466,352.10 × 184,411.80
  4. Step 4: Simplify right side
    311,083.80x = 86,000,830,194.78
  5. Step 5: Solve for x
    x = 86,000,830,194.78/311,083.80
  6. Step 6: Final answer
    x = 276,455.51

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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.