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Finding the Fourth Proportional to 318,005.32, 438,855.42 and 174,769

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Solution

The fourth proportional to 318,005.32, 438,855.42 and 174,769 is: 241,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,005.32 : 438,855.42 = 174,769 : x
  2. Step 2: Convert to fraction form
    318,005.32/438,855.42 = 174,769/x
  3. Step 3: Cross multiply
    318,005.32x = 438,855.42 × 174,769
  4. Step 4: Simplify right side
    318,005.32x = 76,698,322,897.98
  5. Step 5: Solve for x
    x = 76,698,322,897.98/318,005.32
  6. Step 6: Final answer
    x = 241,185.66

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