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Finding the Fourth Proportional to 714,836.81, 986,696.24 and 460,188

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Solution

The fourth proportional to 714,836.81, 986,696.24 and 460,188 is: 635,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,836.81 : 986,696.24 = 460,188 : x
  2. Step 2: Convert to fraction form
    714,836.81/986,696.24 = 460,188/x
  3. Step 3: Cross multiply
    714,836.81x = 986,696.24 × 460,188
  4. Step 4: Simplify right side
    714,836.81x = 454,065,766,992.18
  5. Step 5: Solve for x
    x = 454,065,766,992.18/714,836.81
  6. Step 6: Final answer
    x = 635,201.99

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Why These Related Problems?

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