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Finding the Fourth Proportional to 476,204.92, 714,449.94 and 286,872.28

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Solution

The fourth proportional to 476,204.92, 714,449.94 and 286,872.28 is: 430,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,204.92 : 714,449.94 = 286,872.28 : x
  2. Step 2: Convert to fraction form
    476,204.92/714,449.94 = 286,872.28/x
  3. Step 3: Cross multiply
    476,204.92x = 714,449.94 × 286,872.28
  4. Step 4: Simplify right side
    476,204.92x = 204,955,883,233.66
  5. Step 5: Solve for x
    x = 204,955,883,233.66/476,204.92
  6. Step 6: Final answer
    x = 430,394.30

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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.