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Finding the Fourth Proportional to 363,965.80, 545,948.70 and 347,636.20

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Solution

The fourth proportional to 363,965.80, 545,948.70 and 347,636.20 is: 521,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,965.80 : 545,948.70 = 347,636.20 : x
  2. Step 2: Convert to fraction form
    363,965.80/545,948.70 = 347,636.20/x
  3. Step 3: Cross multiply
    363,965.80x = 545,948.70 × 347,636.20
  4. Step 4: Simplify right side
    363,965.80x = 189,791,531,462.94
  5. Step 5: Solve for x
    x = 189,791,531,462.94/363,965.80
  6. Step 6: Final answer
    x = 521,454.30

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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.