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Finding the Fourth Proportional to 417,748.86, 626,758.01 and 193,256.34

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Solution

The fourth proportional to 417,748.86, 626,758.01 and 193,256.34 is: 289,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,748.86 : 626,758.01 = 193,256.34 : x
  2. Step 2: Convert to fraction form
    417,748.86/626,758.01 = 193,256.34/x
  3. Step 3: Cross multiply
    417,748.86x = 626,758.01 × 193,256.34
  4. Step 4: Simplify right side
    417,748.86x = 121,124,958,112.00
  5. Step 5: Solve for x
    x = 121,124,958,112.00/417,748.86
  6. Step 6: Final answer
    x = 289,946.83

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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.