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Finding the Fourth Proportional to 446,458.62, 669,683.85 and 180,030.46

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Solution

The fourth proportional to 446,458.62, 669,683.85 and 180,030.46 is: 270,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,458.62 : 669,683.85 = 180,030.46 : x
  2. Step 2: Convert to fraction form
    446,458.62/669,683.85 = 180,030.46/x
  3. Step 3: Cross multiply
    446,458.62x = 669,683.85 × 180,030.46
  4. Step 4: Simplify right side
    446,458.62x = 120,563,491,570.07
  5. Step 5: Solve for x
    x = 120,563,491,570.07/446,458.62
  6. Step 6: Final answer
    x = 270,044.04

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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.