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Finding the Fourth Proportional to 465,986.39, 643,232.81 and 409,230.16

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Solution

The fourth proportional to 465,986.39, 643,232.81 and 409,230.16 is: 564,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,986.39 : 643,232.81 = 409,230.16 : x
  2. Step 2: Convert to fraction form
    465,986.39/643,232.81 = 409,230.16/x
  3. Step 3: Cross multiply
    465,986.39x = 643,232.81 × 409,230.16
  4. Step 4: Simplify right side
    465,986.39x = 263,230,265,168.54
  5. Step 5: Solve for x
    x = 263,230,265,168.54/465,986.39
  6. Step 6: Final answer
    x = 564,888.32

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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.