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Finding the Fourth Proportional to 470,866.87, 649,822.85 and 256,002.32

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Solution

The fourth proportional to 470,866.87, 649,822.85 and 256,002.32 is: 353,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,866.87 : 649,822.85 = 256,002.32 : x
  2. Step 2: Convert to fraction form
    470,866.87/649,822.85 = 256,002.32/x
  3. Step 3: Cross multiply
    470,866.87x = 649,822.85 × 256,002.32
  4. Step 4: Simplify right side
    470,866.87x = 166,356,159,933.58
  5. Step 5: Solve for x
    x = 166,356,159,933.58/470,866.87
  6. Step 6: Final answer
    x = 353,297.65

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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.