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Finding the Fourth Proportional to 470,542.29, 649,347.14 and 255,682.38

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Solution

The fourth proportional to 470,542.29, 649,347.14 and 255,682.38 is: 352,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,542.29 : 649,347.14 = 255,682.38 : x
  2. Step 2: Convert to fraction form
    470,542.29/649,347.14 = 255,682.38/x
  3. Step 3: Cross multiply
    470,542.29x = 649,347.14 × 255,682.38
  4. Step 4: Simplify right side
    470,542.29x = 166,026,620,922.98
  5. Step 5: Solve for x
    x = 166,026,620,922.98/470,542.29
  6. Step 6: Final answer
    x = 352,841.02

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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.