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Finding the Fourth Proportional to 470,653.74, 649,506.42 and 255,794.31

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Solution

The fourth proportional to 470,653.74, 649,506.42 and 255,794.31 is: 352,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,653.74 : 649,506.42 = 255,794.31 : x
  2. Step 2: Convert to fraction form
    470,653.74/649,506.42 = 255,794.31/x
  3. Step 3: Cross multiply
    470,653.74x = 649,506.42 × 255,794.31
  4. Step 4: Simplify right side
    470,653.74x = 166,140,046,544.47
  5. Step 5: Solve for x
    x = 166,140,046,544.47/470,653.74
  6. Step 6: Final answer
    x = 352,998.46

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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.