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Finding the Fourth Proportional to 322,464.70, 483,698.22 and 97,827.10

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Solution

The fourth proportional to 322,464.70, 483,698.22 and 97,827.10 is: 146,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,464.70 : 483,698.22 = 97,827.10 : x
  2. Step 2: Convert to fraction form
    322,464.70/483,698.22 = 97,827.10/x
  3. Step 3: Cross multiply
    322,464.70x = 483,698.22 × 97,827.10
  4. Step 4: Simplify right side
    322,464.70x = 47,318,794,137.76
  5. Step 5: Solve for x
    x = 47,318,794,137.76/322,464.70
  6. Step 6: Final answer
    x = 146,741.00

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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.