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Finding the Fourth Proportional to 485,005.84, 669,202.50 and 294,066.16

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Solution

The fourth proportional to 485,005.84, 669,202.50 and 294,066.16 is: 405,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,005.84 : 669,202.50 = 294,066.16 : x
  2. Step 2: Convert to fraction form
    485,005.84/669,202.50 = 294,066.16/x
  3. Step 3: Cross multiply
    485,005.84x = 669,202.50 × 294,066.16
  4. Step 4: Simplify right side
    485,005.84x = 196,789,809,437.40
  5. Step 5: Solve for x
    x = 196,789,809,437.40/485,005.84
  6. Step 6: Final answer
    x = 405,747.30

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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.