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Finding the Fourth Proportional to 476,203.92, 714,448.44 and 286,871.28

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Solution

The fourth proportional to 476,203.92, 714,448.44 and 286,871.28 is: 430,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,203.92 : 714,448.44 = 286,871.28 : x
  2. Step 2: Convert to fraction form
    476,203.92/714,448.44 = 286,871.28/x
  3. Step 3: Cross multiply
    476,203.92x = 714,448.44 × 286,871.28
  4. Step 4: Simplify right side
    476,203.92x = 204,954,738,476.80
  5. Step 5: Solve for x
    x = 204,954,738,476.80/476,203.92
  6. Step 6: Final answer
    x = 430,392.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.