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Finding the Fourth Proportional to 257,041.42, 354,083.36 and 218,678.09

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Solution

The fourth proportional to 257,041.42, 354,083.36 and 218,678.09 is: 301,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,041.42 : 354,083.36 = 218,678.09 : x
  2. Step 2: Convert to fraction form
    257,041.42/354,083.36 = 218,678.09/x
  3. Step 3: Cross multiply
    257,041.42x = 354,083.36 × 218,678.09
  4. Step 4: Simplify right side
    257,041.42x = 77,430,270,001.78
  5. Step 5: Solve for x
    x = 77,430,270,001.78/257,041.42
  6. Step 6: Final answer
    x = 301,236.55

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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.