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Finding the Fourth Proportional to 702,614.76, 969,608.55 and 380,323.86

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Solution

The fourth proportional to 702,614.76, 969,608.55 and 380,323.86 is: 524,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,614.76 : 969,608.55 = 380,323.86 : x
  2. Step 2: Convert to fraction form
    702,614.76/969,608.55 = 380,323.86/x
  3. Step 3: Cross multiply
    702,614.76x = 969,608.55 × 380,323.86
  4. Step 4: Simplify right side
    702,614.76x = 368,765,266,425.00
  5. Step 5: Solve for x
    x = 368,765,266,425.00/702,614.76
  6. Step 6: Final answer
    x = 524,847.02

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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.