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Finding the Fourth Proportional to 517,319.70, 713,838.51 and 287,822.81

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Solution

The fourth proportional to 517,319.70, 713,838.51 and 287,822.81 is: 397,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,319.70 : 713,838.51 = 287,822.81 : x
  2. Step 2: Convert to fraction form
    517,319.70/713,838.51 = 287,822.81/x
  3. Step 3: Cross multiply
    517,319.70x = 713,838.51 × 287,822.81
  4. Step 4: Simplify right side
    517,319.70x = 205,459,002,265.22
  5. Step 5: Solve for x
    x = 205,459,002,265.22/517,319.70
  6. Step 6: Final answer
    x = 397,160.60

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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.