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Finding the Fourth Proportional to 702,426.57, 969,350.38 and 380,139

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Solution

The fourth proportional to 702,426.57, 969,350.38 and 380,139 is: 524,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,426.57 : 969,350.38 = 380,139 : x
  2. Step 2: Convert to fraction form
    702,426.57/969,350.38 = 380,139/x
  3. Step 3: Cross multiply
    702,426.57x = 969,350.38 × 380,139
  4. Step 4: Simplify right side
    702,426.57x = 368,487,884,102.82
  5. Step 5: Solve for x
    x = 368,487,884,102.82/702,426.57
  6. Step 6: Final answer
    x = 524,592.75

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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.