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Finding the Fourth Proportional to 470,509.71, 649,294.03 and 255,651.31

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Solution

The fourth proportional to 470,509.71, 649,294.03 and 255,651.31 is: 352,793.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,509.71 : 649,294.03 = 255,651.31 : x
  2. Step 2: Convert to fraction form
    470,509.71/649,294.03 = 255,651.31/x
  3. Step 3: Cross multiply
    470,509.71x = 649,294.03 × 255,651.31
  4. Step 4: Simplify right side
    470,509.71x = 165,992,869,344.68
  5. Step 5: Solve for x
    x = 165,992,869,344.68/470,509.71
  6. Step 6: Final answer
    x = 352,793.72

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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.