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Finding the Fourth Proportional to 447,101.20, 670,068.60 and 180,643.60

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Solution

The fourth proportional to 447,101.20, 670,068.60 and 180,643.60 is: 270,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,101.20 : 670,068.60 = 180,643.60 : x
  2. Step 2: Convert to fraction form
    447,101.20/670,068.60 = 180,643.60/x
  3. Step 3: Cross multiply
    447,101.20x = 670,068.60 × 180,643.60
  4. Step 4: Simplify right side
    447,101.20x = 121,043,604,150.96
  5. Step 5: Solve for x
    x = 121,043,604,150.96/447,101.20
  6. Step 6: Final answer
    x = 270,729.77

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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.