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Finding the Fourth Proportional to 363,550.80, 545,333.76 and 97,311

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Solution

The fourth proportional to 363,550.80, 545,333.76 and 97,311 is: 145,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,550.80 : 545,333.76 = 97,311 : x
  2. Step 2: Convert to fraction form
    363,550.80/545,333.76 = 97,311/x
  3. Step 3: Cross multiply
    363,550.80x = 545,333.76 × 97,311
  4. Step 4: Simplify right side
    363,550.80x = 53,066,973,519.36
  5. Step 5: Solve for x
    x = 53,066,973,519.36/363,550.80
  6. Step 6: Final answer
    x = 145,968.52

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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.