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Finding the Fourth Proportional to 308,056.77, 461,033.78 and 258,193.17

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Solution

The fourth proportional to 308,056.77, 461,033.78 and 258,193.17 is: 386,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,056.77 : 461,033.78 = 258,193.17 : x
  2. Step 2: Convert to fraction form
    308,056.77/461,033.78 = 258,193.17/x
  3. Step 3: Cross multiply
    308,056.77x = 461,033.78 × 258,193.17
  4. Step 4: Simplify right side
    308,056.77x = 119,035,771,844.32
  5. Step 5: Solve for x
    x = 119,035,771,844.32/308,056.77
  6. Step 6: Final answer
    x = 386,408.56

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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.