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Finding the Fourth Proportional to 702,399.12, 969,313.22 and 380,109.13

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Solution

The fourth proportional to 702,399.12, 969,313.22 and 380,109.13 is: 524,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,399.12 : 969,313.22 = 380,109.13 : x
  2. Step 2: Convert to fraction form
    702,399.12/969,313.22 = 380,109.13/x
  3. Step 3: Cross multiply
    702,399.12x = 969,313.22 × 380,109.13
  4. Step 4: Simplify right side
    702,399.12x = 368,444,798,004.59
  5. Step 5: Solve for x
    x = 368,444,798,004.59/702,399.12
  6. Step 6: Final answer
    x = 524,551.91

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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.