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Finding the Fourth Proportional to 522,454.46, 783,682.49 and 143,380.33

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Solution

The fourth proportional to 522,454.46, 783,682.49 and 143,380.33 is: 215,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,454.46 : 783,682.49 = 143,380.33 : x
  2. Step 2: Convert to fraction form
    522,454.46/783,682.49 = 143,380.33/x
  3. Step 3: Cross multiply
    522,454.46x = 783,682.49 × 143,380.33
  4. Step 4: Simplify right side
    522,454.46x = 112,364,652,430.67
  5. Step 5: Solve for x
    x = 112,364,652,430.67/522,454.46
  6. Step 6: Final answer
    x = 215,070.71

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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.