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Finding the Fourth Proportional to 420,915.93, 580,876.71 and 229,941.63

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Solution

The fourth proportional to 420,915.93, 580,876.71 and 229,941.63 is: 317,326.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,915.93 : 580,876.71 = 229,941.63 : x
  2. Step 2: Convert to fraction form
    420,915.93/580,876.71 = 229,941.63/x
  3. Step 3: Cross multiply
    420,915.93x = 580,876.71 × 229,941.63
  4. Step 4: Simplify right side
    420,915.93x = 133,567,737,526.44
  5. Step 5: Solve for x
    x = 133,567,737,526.44/420,915.93
  6. Step 6: Final answer
    x = 317,326.40

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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.