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Finding the Fourth Proportional to 417,615.21, 626,500.73 and 192,827.15

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Solution

The fourth proportional to 417,615.21, 626,500.73 and 192,827.15 is: 289,276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,615.21 : 626,500.73 = 192,827.15 : x
  2. Step 2: Convert to fraction form
    417,615.21/626,500.73 = 192,827.15/x
  3. Step 3: Cross multiply
    417,615.21x = 626,500.73 × 192,827.15
  4. Step 4: Simplify right side
    417,615.21x = 120,806,346,142.18
  5. Step 5: Solve for x
    x = 120,806,346,142.18/417,615.21
  6. Step 6: Final answer
    x = 289,276.69

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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.