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Finding the Fourth Proportional to 471,002.72, 649,977.64 and 256,138.17

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Solution

The fourth proportional to 471,002.72, 649,977.64 and 256,138.17 is: 353,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,002.72 : 649,977.64 = 256,138.17 : x
  2. Step 2: Convert to fraction form
    471,002.72/649,977.64 = 256,138.17/x
  3. Step 3: Cross multiply
    471,002.72x = 649,977.64 × 256,138.17
  4. Step 4: Simplify right side
    471,002.72x = 166,484,085,047.59
  5. Step 5: Solve for x
    x = 166,484,085,047.59/471,002.72
  6. Step 6: Final answer
    x = 353,467.35

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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.