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Finding the Fourth Proportional to 702,306.33, 969,179.63 and 380,022.14

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Solution

The fourth proportional to 702,306.33, 969,179.63 and 380,022.14 is: 524,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,306.33 : 969,179.63 = 380,022.14 : x
  2. Step 2: Convert to fraction form
    702,306.33/969,179.63 = 380,022.14/x
  3. Step 3: Cross multiply
    702,306.33x = 969,179.63 × 380,022.14
  4. Step 4: Simplify right side
    702,306.33x = 368,309,710,291.00
  5. Step 5: Solve for x
    x = 368,309,710,291.00/702,306.33
  6. Step 6: Final answer
    x = 524,428.86

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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.