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Finding the Fourth Proportional to 470,508.87, 649,301.16 and 255,649.80

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Solution

The fourth proportional to 470,508.87, 649,301.16 and 255,649.80 is: 352,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,508.87 : 649,301.16 = 255,649.80 : x
  2. Step 2: Convert to fraction form
    470,508.87/649,301.16 = 255,649.80/x
  3. Step 3: Cross multiply
    470,508.87x = 649,301.16 × 255,649.80
  4. Step 4: Simplify right side
    470,508.87x = 165,993,711,693.77
  5. Step 5: Solve for x
    x = 165,993,711,693.77/470,508.87
  6. Step 6: Final answer
    x = 352,796.14

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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.