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Finding the Fourth Proportional to 469,786.40, 704,703.28 and 132,851.28

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Solution

The fourth proportional to 469,786.40, 704,703.28 and 132,851.28 is: 199,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,786.40 : 704,703.28 = 132,851.28 : x
  2. Step 2: Convert to fraction form
    469,786.40/704,703.28 = 132,851.28/x
  3. Step 3: Cross multiply
    469,786.40x = 704,703.28 × 132,851.28
  4. Step 4: Simplify right side
    469,786.40x = 93,620,732,768.20
  5. Step 5: Solve for x
    x = 93,620,732,768.20/469,786.40
  6. Step 6: Final answer
    x = 199,283.62

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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.