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Finding the Fourth Proportional to 523,936, 723,031.68 and 285,472

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Solution

The fourth proportional to 523,936, 723,031.68 and 285,472 is: 393,951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,936 : 723,031.68 = 285,472 : x
  2. Step 2: Convert to fraction form
    523,936/723,031.68 = 285,472/x
  3. Step 3: Cross multiply
    523,936x = 723,031.68 × 285,472
  4. Step 4: Simplify right side
    523,936x = 206,405,299,752.96
  5. Step 5: Solve for x
    x = 206,405,299,752.96/523,936
  6. Step 6: Final answer
    x = 393,951.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.