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Finding the Fourth Proportional to 703,001, 970,139.94 and 380,711

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Solution

The fourth proportional to 703,001, 970,139.94 and 380,711 is: 525,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,001 : 970,139.94 = 380,711 : x
  2. Step 2: Convert to fraction form
    703,001/970,139.94 = 380,711/x
  3. Step 3: Cross multiply
    703,001x = 970,139.94 × 380,711
  4. Step 4: Simplify right side
    703,001x = 369,342,946,697.34
  5. Step 5: Solve for x
    x = 369,342,946,697.34/703,001
  6. Step 6: Final answer
    x = 525,380.40

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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.