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Finding the Fourth Proportional to 475,285.38, 655,893.42 and 260,438.82

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Solution

The fourth proportional to 475,285.38, 655,893.42 and 260,438.82 is: 359,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,285.38 : 655,893.42 = 260,438.82 : x
  2. Step 2: Convert to fraction form
    475,285.38/655,893.42 = 260,438.82/x
  3. Step 3: Cross multiply
    475,285.38x = 655,893.42 × 260,438.82
  4. Step 4: Simplify right side
    475,285.38x = 170,820,108,350.56
  5. Step 5: Solve for x
    x = 170,820,108,350.56/475,285.38
  6. Step 6: Final answer
    x = 359,405.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.