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Finding the Fourth Proportional to 333,722.82, 500,669 and 97,065.51

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Solution

The fourth proportional to 333,722.82, 500,669 and 97,065.51 is: 145,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,722.82 : 500,669 = 97,065.51 : x
  2. Step 2: Convert to fraction form
    333,722.82/500,669 = 97,065.51/x
  3. Step 3: Cross multiply
    333,722.82x = 500,669 × 97,065.51
  4. Step 4: Simplify right side
    333,722.82x = 48,597,691,826.19
  5. Step 5: Solve for x
    x = 48,597,691,826.19/333,722.82
  6. Step 6: Final answer
    x = 145,622.92

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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.