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Finding the Fourth Proportional to 442,680.44, 610,897.74 and 241,475

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Solution

The fourth proportional to 442,680.44, 610,897.74 and 241,475 is: 333,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,680.44 : 610,897.74 = 241,475 : x
  2. Step 2: Convert to fraction form
    442,680.44/610,897.74 = 241,475/x
  3. Step 3: Cross multiply
    442,680.44x = 610,897.74 × 241,475
  4. Step 4: Simplify right side
    442,680.44x = 147,516,531,766.50
  5. Step 5: Solve for x
    x = 147,516,531,766.50/442,680.44
  6. Step 6: Final answer
    x = 333,234.81

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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.