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Finding the Fourth Proportional to 424,071.96, 585,211.80 and 233,085.30

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Solution

The fourth proportional to 424,071.96, 585,211.80 and 233,085.30 is: 321,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,071.96 : 585,211.80 = 233,085.30 : x
  2. Step 2: Convert to fraction form
    424,071.96/585,211.80 = 233,085.30/x
  3. Step 3: Cross multiply
    424,071.96x = 585,211.80 × 233,085.30
  4. Step 4: Simplify right side
    424,071.96x = 136,404,267,966.54
  5. Step 5: Solve for x
    x = 136,404,267,966.54/424,071.96
  6. Step 6: Final answer
    x = 321,653.59

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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.