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Finding the Fourth Proportional to 333,453.56, 500,029.06 and 143,824.32

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Solution

The fourth proportional to 333,453.56, 500,029.06 and 143,824.32 is: 215,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,453.56 : 500,029.06 = 143,824.32 : x
  2. Step 2: Convert to fraction form
    333,453.56/500,029.06 = 143,824.32/x
  3. Step 3: Cross multiply
    333,453.56x = 500,029.06 × 143,824.32
  4. Step 4: Simplify right side
    333,453.56x = 71,916,339,534.74
  5. Step 5: Solve for x
    x = 71,916,339,534.74/333,453.56
  6. Step 6: Final answer
    x = 215,671.23

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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.