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Finding the Fourth Proportional to 539,657.28, 744,814.56 and 313,434

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Solution

The fourth proportional to 539,657.28, 744,814.56 and 313,434 is: 432,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,657.28 : 744,814.56 = 313,434 : x
  2. Step 2: Convert to fraction form
    539,657.28/744,814.56 = 313,434/x
  3. Step 3: Cross multiply
    539,657.28x = 744,814.56 × 313,434
  4. Step 4: Simplify right side
    539,657.28x = 233,450,206,799.04
  5. Step 5: Solve for x
    x = 233,450,206,799.04/539,657.28
  6. Step 6: Final answer
    x = 432,589.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.