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Finding the Fourth Proportional to 307,856.34, 424,912.56 and 180,572.94

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Solution

The fourth proportional to 307,856.34, 424,912.56 and 180,572.94 is: 249,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,856.34 : 424,912.56 = 180,572.94 : x
  2. Step 2: Convert to fraction form
    307,856.34/424,912.56 = 180,572.94/x
  3. Step 3: Cross multiply
    307,856.34x = 424,912.56 × 180,572.94
  4. Step 4: Simplify right side
    307,856.34x = 76,727,710,202.13
  5. Step 5: Solve for x
    x = 76,727,710,202.13/307,856.34
  6. Step 6: Final answer
    x = 249,232.19

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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.