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Finding the Fourth Proportional to 469,778.13, 704,578.64 and 132,816.11

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Solution

The fourth proportional to 469,778.13, 704,578.64 and 132,816.11 is: 199,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,778.13 : 704,578.64 = 132,816.11 : x
  2. Step 2: Convert to fraction form
    469,778.13/704,578.64 = 132,816.11/x
  3. Step 3: Cross multiply
    469,778.13x = 704,578.64 × 132,816.11
  4. Step 4: Simplify right side
    469,778.13x = 93,579,389,966.92
  5. Step 5: Solve for x
    x = 93,579,389,966.92/469,778.13
  6. Step 6: Final answer
    x = 199,199.12

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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.