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Finding the Fourth Proportional to 713,526.28, 984,696.42 and 407,653

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Solution

The fourth proportional to 713,526.28, 984,696.42 and 407,653 is: 562,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,526.28 : 984,696.42 = 407,653 : x
  2. Step 2: Convert to fraction form
    713,526.28/984,696.42 = 407,653/x
  3. Step 3: Cross multiply
    713,526.28x = 984,696.42 × 407,653
  4. Step 4: Simplify right side
    713,526.28x = 401,414,449,702.26
  5. Step 5: Solve for x
    x = 401,414,449,702.26/713,526.28
  6. Step 6: Final answer
    x = 562,578.37

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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.