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Finding the Fourth Proportional to 434,902.40, 599,609.60 and 281,669.76

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Solution

The fourth proportional to 434,902.40, 599,609.60 and 281,669.76 is: 388,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,902.40 : 599,609.60 = 281,669.76 : x
  2. Step 2: Convert to fraction form
    434,902.40/599,609.60 = 281,669.76/x
  3. Step 3: Cross multiply
    434,902.40x = 599,609.60 × 281,669.76
  4. Step 4: Simplify right side
    434,902.40x = 168,891,892,125.70
  5. Step 5: Solve for x
    x = 168,891,892,125.70/434,902.40
  6. Step 6: Final answer
    x = 388,344.36

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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.