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Finding the Fourth Proportional to 362,165.83, 543,781.91 and 202,554.47

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Solution

The fourth proportional to 362,165.83, 543,781.91 and 202,554.47 is: 304,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,165.83 : 543,781.91 = 202,554.47 : x
  2. Step 2: Convert to fraction form
    362,165.83/543,781.91 = 202,554.47/x
  3. Step 3: Cross multiply
    362,165.83x = 543,781.91 × 202,554.47
  4. Step 4: Simplify right side
    362,165.83x = 110,145,457,302.11
  5. Step 5: Solve for x
    x = 110,145,457,302.11/362,165.83
  6. Step 6: Final answer
    x = 304,129.90

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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.