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Finding the Fourth Proportional to 417,704.07, 626,455.76 and 192,848.58

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Solution

The fourth proportional to 417,704.07, 626,455.76 and 192,848.58 is: 289,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,704.07 : 626,455.76 = 192,848.58 : x
  2. Step 2: Convert to fraction form
    417,704.07/626,455.76 = 192,848.58/x
  3. Step 3: Cross multiply
    417,704.07x = 626,455.76 × 192,848.58
  4. Step 4: Simplify right side
    417,704.07x = 120,811,102,784.58
  5. Step 5: Solve for x
    x = 120,811,102,784.58/417,704.07
  6. Step 6: Final answer
    x = 289,226.54

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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.