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Finding the Fourth Proportional to 333,721.82, 500,667.50 and 97,064.51

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Solution

The fourth proportional to 333,721.82, 500,667.50 and 97,064.51 is: 145,621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,721.82 : 500,667.50 = 97,064.51 : x
  2. Step 2: Convert to fraction form
    333,721.82/500,667.50 = 97,064.51/x
  3. Step 3: Cross multiply
    333,721.82x = 500,667.50 × 97,064.51
  4. Step 4: Simplify right side
    333,721.82x = 48,597,043,299.75
  5. Step 5: Solve for x
    x = 48,597,043,299.75/333,721.82
  6. Step 6: Final answer
    x = 145,621.41

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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.