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Finding the Fourth Proportional to 517,194.82, 713,562.71 and 313,180.53

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Solution

The fourth proportional to 517,194.82, 713,562.71 and 313,180.53 is: 432,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,194.82 : 713,562.71 = 313,180.53 : x
  2. Step 2: Convert to fraction form
    517,194.82/713,562.71 = 313,180.53/x
  3. Step 3: Cross multiply
    517,194.82x = 713,562.71 × 313,180.53
  4. Step 4: Simplify right side
    517,194.82x = 223,473,947,706.04
  5. Step 5: Solve for x
    x = 223,473,947,706.04/517,194.82
  6. Step 6: Final answer
    x = 432,088.53

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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.