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Finding the Fourth Proportional to 470,542.47, 649,352.72 and 255,682.53

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Solution

The fourth proportional to 470,542.47, 649,352.72 and 255,682.53 is: 352,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,542.47 : 649,352.72 = 255,682.53 : x
  2. Step 2: Convert to fraction form
    470,542.47/649,352.72 = 255,682.53/x
  3. Step 3: Cross multiply
    470,542.47x = 649,352.72 × 255,682.53
  4. Step 4: Simplify right side
    470,542.47x = 166,028,146,311.98
  5. Step 5: Solve for x
    x = 166,028,146,311.98/470,542.47
  6. Step 6: Final answer
    x = 352,844.13

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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.