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Finding the Fourth Proportional to 702,409.43, 969,324.94 and 380,119.55

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Solution

The fourth proportional to 702,409.43, 969,324.94 and 380,119.55 is: 524,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,409.43 : 969,324.94 = 380,119.55 : x
  2. Step 2: Convert to fraction form
    702,409.43/969,324.94 = 380,119.55/x
  3. Step 3: Cross multiply
    702,409.43x = 969,324.94 × 380,119.55
  4. Step 4: Simplify right side
    702,409.43x = 368,459,354,199.65
  5. Step 5: Solve for x
    x = 368,459,354,199.65/702,409.43
  6. Step 6: Final answer
    x = 524,564.93

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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.