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Finding the Fourth Proportional to 469,449.72, 704,430 and 199,535.58

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Solution

The fourth proportional to 469,449.72, 704,430 and 199,535.58 is: 299,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,449.72 : 704,430 = 199,535.58 : x
  2. Step 2: Convert to fraction form
    469,449.72/704,430 = 199,535.58/x
  3. Step 3: Cross multiply
    469,449.72x = 704,430 × 199,535.58
  4. Step 4: Simplify right side
    469,449.72x = 140,558,848,619.40
  5. Step 5: Solve for x
    x = 140,558,848,619.40/469,449.72
  6. Step 6: Final answer
    x = 299,411.93

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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.