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Finding the Fourth Proportional to 446,502.30, 669,559.05 and 146,867.10

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Solution

The fourth proportional to 446,502.30, 669,559.05 and 146,867.10 is: 220,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,502.30 : 669,559.05 = 146,867.10 : x
  2. Step 2: Convert to fraction form
    446,502.30/669,559.05 = 146,867.10/x
  3. Step 3: Cross multiply
    446,502.30x = 669,559.05 × 146,867.10
  4. Step 4: Simplify right side
    446,502.30x = 98,336,195,952.26
  5. Step 5: Solve for x
    x = 98,336,195,952.26/446,502.30
  6. Step 6: Final answer
    x = 220,236.71

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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.