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Finding the Fourth Proportional to 470,308.44, 649,030.41 and 255,452.70

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Solution

The fourth proportional to 470,308.44, 649,030.41 and 255,452.70 is: 352,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,308.44 : 649,030.41 = 255,452.70 : x
  2. Step 2: Convert to fraction form
    470,308.44/649,030.41 = 255,452.70/x
  3. Step 3: Cross multiply
    470,308.44x = 649,030.41 × 255,452.70
  4. Step 4: Simplify right side
    470,308.44x = 165,796,570,616.61
  5. Step 5: Solve for x
    x = 165,796,570,616.61/470,308.44
  6. Step 6: Final answer
    x = 352,527.31

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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.