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Finding the Fourth Proportional to 470,785.62, 649,688.38 and 255,926.10

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Solution

The fourth proportional to 470,785.62, 649,688.38 and 255,926.10 is: 353,180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,785.62 : 649,688.38 = 255,926.10 : x
  2. Step 2: Convert to fraction form
    470,785.62/649,688.38 = 255,926.10/x
  3. Step 3: Cross multiply
    470,785.62x = 649,688.38 × 255,926.10
  4. Step 4: Simplify right side
    470,785.62x = 166,272,213,308.72
  5. Step 5: Solve for x
    x = 166,272,213,308.72/470,785.62
  6. Step 6: Final answer
    x = 353,180.31

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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.