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Finding the Fourth Proportional to 453,716.96, 680,673.84 and 138,165.60

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Solution

The fourth proportional to 453,716.96, 680,673.84 and 138,165.60 is: 207,278.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,716.96 : 680,673.84 = 138,165.60 : x
  2. Step 2: Convert to fraction form
    453,716.96/680,673.84 = 138,165.60/x
  3. Step 3: Cross multiply
    453,716.96x = 680,673.84 × 138,165.60
  4. Step 4: Simplify right side
    453,716.96x = 94,045,709,507.90
  5. Step 5: Solve for x
    x = 94,045,709,507.90/453,716.96
  6. Step 6: Final answer
    x = 207,278.36

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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.