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Finding the Fourth Proportional to 702,914.60, 970,022.66 and 380,627.24

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Solution

The fourth proportional to 702,914.60, 970,022.66 and 380,627.24 is: 525,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,914.60 : 970,022.66 = 380,627.24 : x
  2. Step 2: Convert to fraction form
    702,914.60/970,022.66 = 380,627.24/x
  3. Step 3: Cross multiply
    702,914.60x = 970,022.66 × 380,627.24
  4. Step 4: Simplify right side
    702,914.60x = 369,217,047,813.26
  5. Step 5: Solve for x
    x = 369,217,047,813.26/702,914.60
  6. Step 6: Final answer
    x = 525,265.87

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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.