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Finding the Fourth Proportional to 470,557.20, 649,372.88 and 255,697.28

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Solution

The fourth proportional to 470,557.20, 649,372.88 and 255,697.28 is: 352,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,557.20 : 649,372.88 = 255,697.28 : x
  2. Step 2: Convert to fraction form
    470,557.20/649,372.88 = 255,697.28/x
  3. Step 3: Cross multiply
    470,557.20x = 649,372.88 × 255,697.28
  4. Step 4: Simplify right side
    470,557.20x = 166,042,879,121.77
  5. Step 5: Solve for x
    x = 166,042,879,121.77/470,557.20
  6. Step 6: Final answer
    x = 352,864.39

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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.