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Finding the Fourth Proportional to 474,994.62, 712,487.25 and 205,313.49

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Solution

The fourth proportional to 474,994.62, 712,487.25 and 205,313.49 is: 307,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,994.62 : 712,487.25 = 205,313.49 : x
  2. Step 2: Convert to fraction form
    474,994.62/712,487.25 = 205,313.49/x
  3. Step 3: Cross multiply
    474,994.62x = 712,487.25 × 205,313.49
  4. Step 4: Simplify right side
    474,994.62x = 146,283,243,878.00
  5. Step 5: Solve for x
    x = 146,283,243,878.00/474,994.62
  6. Step 6: Final answer
    x = 307,968.21

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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.