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Finding the Fourth Proportional to 703,034.38, 970,181.99 and 380,737

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Solution

The fourth proportional to 703,034.38, 970,181.99 and 380,737 is: 525,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,034.38 : 970,181.99 = 380,737 : x
  2. Step 2: Convert to fraction form
    703,034.38/970,181.99 = 380,737/x
  3. Step 3: Cross multiply
    703,034.38x = 970,181.99 × 380,737
  4. Step 4: Simplify right side
    703,034.38x = 369,384,178,422.95
  5. Step 5: Solve for x
    x = 369,384,178,422.95/703,034.38
  6. Step 6: Final answer
    x = 525,414.10

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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.