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Finding the Fourth Proportional to 470,711.52, 649,566 and 269,468.64

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Solution

The fourth proportional to 470,711.52, 649,566 and 269,468.64 is: 371,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,711.52 : 649,566 = 269,468.64 : x
  2. Step 2: Convert to fraction form
    470,711.52/649,566 = 269,468.64/x
  3. Step 3: Cross multiply
    470,711.52x = 649,566 × 269,468.64
  4. Step 4: Simplify right side
    470,711.52x = 175,037,666,610.24
  5. Step 5: Solve for x
    x = 175,037,666,610.24/470,711.52
  6. Step 6: Final answer
    x = 371,857.62

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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.