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Finding the Fourth Proportional to 313,472, 432,723.80 and 211,635.41

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Solution

The fourth proportional to 313,472, 432,723.80 and 211,635.41 is: 292,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,472 : 432,723.80 = 211,635.41 : x
  2. Step 2: Convert to fraction form
    313,472/432,723.80 = 211,635.41/x
  3. Step 3: Cross multiply
    313,472x = 432,723.80 × 211,635.41
  4. Step 4: Simplify right side
    313,472x = 91,579,678,829.76
  5. Step 5: Solve for x
    x = 91,579,678,829.76/313,472
  6. Step 6: Final answer
    x = 292,146.28

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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.