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Finding the Fourth Proportional to 333,494.36, 500,090.17 and 143,865.06

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Solution

The fourth proportional to 333,494.36, 500,090.17 and 143,865.06 is: 215,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,494.36 : 500,090.17 = 143,865.06 : x
  2. Step 2: Convert to fraction form
    333,494.36/500,090.17 = 143,865.06/x
  3. Step 3: Cross multiply
    333,494.36x = 500,090.17 × 143,865.06
  4. Step 4: Simplify right side
    333,494.36x = 71,945,502,312.46
  5. Step 5: Solve for x
    x = 71,945,502,312.46/333,494.36
  6. Step 6: Final answer
    x = 215,732.29

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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.