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Finding the Fourth Proportional to 472,996.33, 709,072.53 and 173,406.96

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Solution

The fourth proportional to 472,996.33, 709,072.53 and 173,406.96 is: 259,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,996.33 : 709,072.53 = 173,406.96 : x
  2. Step 2: Convert to fraction form
    472,996.33/709,072.53 = 173,406.96/x
  3. Step 3: Cross multiply
    472,996.33x = 709,072.53 × 173,406.96
  4. Step 4: Simplify right side
    472,996.33x = 122,958,111,846.81
  5. Step 5: Solve for x
    x = 122,958,111,846.81/472,996.33
  6. Step 6: Final answer
    x = 259,955.74

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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.