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Finding the Fourth Proportional to 262,433.69, 393,416.09 and 102,472.41

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Solution

The fourth proportional to 262,433.69, 393,416.09 and 102,472.41 is: 153,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,433.69 : 393,416.09 = 102,472.41 : x
  2. Step 2: Convert to fraction form
    262,433.69/393,416.09 = 102,472.41/x
  3. Step 3: Cross multiply
    262,433.69x = 393,416.09 × 102,472.41
  4. Step 4: Simplify right side
    262,433.69x = 40,314,294,875.08
  5. Step 5: Solve for x
    x = 40,314,294,875.08/262,433.69
  6. Step 6: Final answer
    x = 153,617.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.