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Finding the Fourth Proportional to 407,821.80, 611,732.70 and 295,264.20

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Solution

The fourth proportional to 407,821.80, 611,732.70 and 295,264.20 is: 442,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,821.80 : 611,732.70 = 295,264.20 : x
  2. Step 2: Convert to fraction form
    407,821.80/611,732.70 = 295,264.20/x
  3. Step 3: Cross multiply
    407,821.80x = 611,732.70 × 295,264.20
  4. Step 4: Simplify right side
    407,821.80x = 180,622,766,279.34
  5. Step 5: Solve for x
    x = 180,622,766,279.34/407,821.80
  6. Step 6: Final answer
    x = 442,896.30

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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.