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Finding the Fourth Proportional to 435,144.96, 600,346.08 and 284,329.44

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Solution

The fourth proportional to 435,144.96, 600,346.08 and 284,329.44 is: 392,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,144.96 : 600,346.08 = 284,329.44 : x
  2. Step 2: Convert to fraction form
    435,144.96/600,346.08 = 284,329.44/x
  3. Step 3: Cross multiply
    435,144.96x = 600,346.08 × 284,329.44
  4. Step 4: Simplify right side
    435,144.96x = 170,696,064,732.60
  5. Step 5: Solve for x
    x = 170,696,064,732.60/435,144.96
  6. Step 6: Final answer
    x = 392,274.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.