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Finding the Fourth Proportional to 452,732.40, 678,114.45 and 274,929.30

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Solution

The fourth proportional to 452,732.40, 678,114.45 and 274,929.30 is: 411,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,732.40 : 678,114.45 = 274,929.30 : x
  2. Step 2: Convert to fraction form
    452,732.40/678,114.45 = 274,929.30/x
  3. Step 3: Cross multiply
    452,732.40x = 678,114.45 × 274,929.30
  4. Step 4: Simplify right side
    452,732.40x = 186,433,531,058.39
  5. Step 5: Solve for x
    x = 186,433,531,058.39/452,732.40
  6. Step 6: Final answer
    x = 411,796.31

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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.