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Finding the Fourth Proportional to 476,383.66, 714,031.90 and 191,892.02

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Solution

The fourth proportional to 476,383.66, 714,031.90 and 191,892.02 is: 287,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,383.66 : 714,031.90 = 191,892.02 : x
  2. Step 2: Convert to fraction form
    476,383.66/714,031.90 = 191,892.02/x
  3. Step 3: Cross multiply
    476,383.66x = 714,031.90 × 191,892.02
  4. Step 4: Simplify right side
    476,383.66x = 137,017,023,635.44
  5. Step 5: Solve for x
    x = 137,017,023,635.44/476,383.66
  6. Step 6: Final answer
    x = 287,619.07

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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.