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Finding the Fourth Proportional to 393,875.64, 590,606.10 and 269,252.28

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Solution

The fourth proportional to 393,875.64, 590,606.10 and 269,252.28 is: 403,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,875.64 : 590,606.10 = 269,252.28 : x
  2. Step 2: Convert to fraction form
    393,875.64/590,606.10 = 269,252.28/x
  3. Step 3: Cross multiply
    393,875.64x = 590,606.10 × 269,252.28
  4. Step 4: Simplify right side
    393,875.64x = 159,022,039,006.91
  5. Step 5: Solve for x
    x = 159,022,039,006.91/393,875.64
  6. Step 6: Final answer
    x = 403,736.67

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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.