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Finding the Fourth Proportional to 308,436.80, 463,346.40 and 295,841.60

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Solution

The fourth proportional to 308,436.80, 463,346.40 and 295,841.60 is: 444,425.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,436.80 : 463,346.40 = 295,841.60 : x
  2. Step 2: Convert to fraction form
    308,436.80/463,346.40 = 295,841.60/x
  3. Step 3: Cross multiply
    308,436.80x = 463,346.40 × 295,841.60
  4. Step 4: Simplify right side
    308,436.80x = 137,077,140,330.24
  5. Step 5: Solve for x
    x = 137,077,140,330.24/308,436.80
  6. Step 6: Final answer
    x = 444,425.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.