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Finding the Fourth Proportional to 483,814.82, 725,809.73 and 199,347.12

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Solution

The fourth proportional to 483,814.82, 725,809.73 and 199,347.12 is: 299,056.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,814.82 : 725,809.73 = 199,347.12 : x
  2. Step 2: Convert to fraction form
    483,814.82/725,809.73 = 199,347.12/x
  3. Step 3: Cross multiply
    483,814.82x = 725,809.73 × 199,347.12
  4. Step 4: Simplify right side
    483,814.82x = 144,688,077,426.73
  5. Step 5: Solve for x
    x = 144,688,077,426.73/483,814.82
  6. Step 6: Final answer
    x = 299,056.73

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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.