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Finding the Fourth Proportional to 543,447.36, 749,980.80 and 301,729.98

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Solution

The fourth proportional to 543,447.36, 749,980.80 and 301,729.98 is: 416,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,447.36 : 749,980.80 = 301,729.98 : x
  2. Step 2: Convert to fraction form
    543,447.36/749,980.80 = 301,729.98/x
  3. Step 3: Cross multiply
    543,447.36x = 749,980.80 × 301,729.98
  4. Step 4: Simplify right side
    543,447.36x = 226,291,691,784.38
  5. Step 5: Solve for x
    x = 226,291,691,784.38/543,447.36
  6. Step 6: Final answer
    x = 416,400.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.