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Finding the Fourth Proportional to 421,081.68, 580,927.74 and 259,656.48

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Solution

The fourth proportional to 421,081.68, 580,927.74 and 259,656.48 is: 358,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,081.68 : 580,927.74 = 259,656.48 : x
  2. Step 2: Convert to fraction form
    421,081.68/580,927.74 = 259,656.48/x
  3. Step 3: Cross multiply
    421,081.68x = 580,927.74 × 259,656.48
  4. Step 4: Simplify right side
    421,081.68x = 150,841,652,102.76
  5. Step 5: Solve for x
    x = 150,841,652,102.76/421,081.68
  6. Step 6: Final answer
    x = 358,224.21

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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.