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Finding the Fourth Proportional to 469,460.49, 704,171.16 and 216,656.97

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Solution

The fourth proportional to 469,460.49, 704,171.16 and 216,656.97 is: 324,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,460.49 : 704,171.16 = 216,656.97 : x
  2. Step 2: Convert to fraction form
    469,460.49/704,171.16 = 216,656.97/x
  3. Step 3: Cross multiply
    469,460.49x = 704,171.16 × 216,656.97
  4. Step 4: Simplify right side
    469,460.49x = 152,563,589,886.99
  5. Step 5: Solve for x
    x = 152,563,589,886.99/469,460.49
  6. Step 6: Final answer
    x = 324,976.42

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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.