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Finding the Fourth Proportional to 453,945.40, 680,845.20 and 138,328.90

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Solution

The fourth proportional to 453,945.40, 680,845.20 and 138,328.90 is: 207,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,945.40 : 680,845.20 = 138,328.90 : x
  2. Step 2: Convert to fraction form
    453,945.40/680,845.20 = 138,328.90/x
  3. Step 3: Cross multiply
    453,945.40x = 680,845.20 × 138,328.90
  4. Step 4: Simplify right side
    453,945.40x = 94,180,567,586.28
  5. Step 5: Solve for x
    x = 94,180,567,586.28/453,945.40
  6. Step 6: Final answer
    x = 207,471.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.