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Finding the Fourth Proportional to 446,460.62, 669,686.85 and 180,032.46

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Solution

The fourth proportional to 446,460.62, 669,686.85 and 180,032.46 is: 270,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,460.62 : 669,686.85 = 180,032.46 : x
  2. Step 2: Convert to fraction form
    446,460.62/669,686.85 = 180,032.46/x
  3. Step 3: Cross multiply
    446,460.62x = 669,686.85 × 180,032.46
  4. Step 4: Simplify right side
    446,460.62x = 120,565,371,035.15
  5. Step 5: Solve for x
    x = 120,565,371,035.15/446,460.62
  6. Step 6: Final answer
    x = 270,047.04

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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.