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Finding the Fourth Proportional to 470,708.19, 649,573.47 and 255,847.59

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Solution

The fourth proportional to 470,708.19, 649,573.47 and 255,847.59 is: 353,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,708.19 : 649,573.47 = 255,847.59 : x
  2. Step 2: Convert to fraction form
    470,708.19/649,573.47 = 255,847.59/x
  3. Step 3: Cross multiply
    470,708.19x = 649,573.47 × 255,847.59
  4. Step 4: Simplify right side
    470,708.19x = 166,191,806,827.44
  5. Step 5: Solve for x
    x = 166,191,806,827.44/470,708.19
  6. Step 6: Final answer
    x = 353,067.59

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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.