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Finding the Fourth Proportional to 452,426.40, 678,193.20 and 252,842.40

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Solution

The fourth proportional to 452,426.40, 678,193.20 and 252,842.40 is: 379,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,426.40 : 678,193.20 = 252,842.40 : x
  2. Step 2: Convert to fraction form
    452,426.40/678,193.20 = 252,842.40/x
  3. Step 3: Cross multiply
    452,426.40x = 678,193.20 × 252,842.40
  4. Step 4: Simplify right side
    452,426.40x = 171,475,996,351.68
  5. Step 5: Solve for x
    x = 171,475,996,351.68/452,426.40
  6. Step 6: Final answer
    x = 379,014.13

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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.