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Finding the Fourth Proportional to 531,828.36, 733,936.98 and 290,115

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Solution

The fourth proportional to 531,828.36, 733,936.98 and 290,115 is: 400,366.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,828.36 : 733,936.98 = 290,115 : x
  2. Step 2: Convert to fraction form
    531,828.36/733,936.98 = 290,115/x
  3. Step 3: Cross multiply
    531,828.36x = 733,936.98 × 290,115
  4. Step 4: Simplify right side
    531,828.36x = 212,926,126,952.70
  5. Step 5: Solve for x
    x = 212,926,126,952.70/531,828.36
  6. Step 6: Final answer
    x = 400,366.25

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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.