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Finding the Fourth Proportional to 522,449.46, 783,675.06 and 143,375.40

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Solution

The fourth proportional to 522,449.46, 783,675.06 and 143,375.40 is: 215,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,449.46 : 783,675.06 = 143,375.40 : x
  2. Step 2: Convert to fraction form
    522,449.46/783,675.06 = 143,375.40/x
  3. Step 3: Cross multiply
    522,449.46x = 783,675.06 × 143,375.40
  4. Step 4: Simplify right side
    522,449.46x = 112,359,725,197.52
  5. Step 5: Solve for x
    x = 112,359,725,197.52/522,449.46
  6. Step 6: Final answer
    x = 215,063.34

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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.