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Finding the Fourth Proportional to 421,829.34, 582,123.42 and 230,841.06

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Solution

The fourth proportional to 421,829.34, 582,123.42 and 230,841.06 is: 318,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,829.34 : 582,123.42 = 230,841.06 : x
  2. Step 2: Convert to fraction form
    421,829.34/582,123.42 = 230,841.06/x
  3. Step 3: Cross multiply
    421,829.34x = 582,123.42 × 230,841.06
  4. Step 4: Simplify right side
    421,829.34x = 134,377,987,323.63
  5. Step 5: Solve for x
    x = 134,377,987,323.63/421,829.34
  6. Step 6: Final answer
    x = 318,560.08

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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.