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Finding the Fourth Proportional to 470,811.94, 649,695.63 and 255,951.04

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Solution

The fourth proportional to 470,811.94, 649,695.63 and 255,951.04 is: 353,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,811.94 : 649,695.63 = 255,951.04 : x
  2. Step 2: Convert to fraction form
    470,811.94/649,695.63 = 255,951.04/x
  3. Step 3: Cross multiply
    470,811.94x = 649,695.63 × 255,951.04
  4. Step 4: Simplify right side
    470,811.94x = 166,290,272,735.71
  5. Step 5: Solve for x
    x = 166,290,272,735.71/470,811.94
  6. Step 6: Final answer
    x = 353,198.93

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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.