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Finding the Fourth Proportional to 470,722.04, 649,597.20 and 255,861.56

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Solution

The fourth proportional to 470,722.04, 649,597.20 and 255,861.56 is: 353,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,722.04 : 649,597.20 = 255,861.56 : x
  2. Step 2: Convert to fraction form
    470,722.04/649,597.20 = 255,861.56/x
  3. Step 3: Cross multiply
    470,722.04x = 649,597.20 × 255,861.56
  4. Step 4: Simplify right side
    470,722.04x = 166,206,952,963.63
  5. Step 5: Solve for x
    x = 166,206,952,963.63/470,722.04
  6. Step 6: Final answer
    x = 353,089.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.