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Finding the Fourth Proportional to 470,949.60, 705,387.60 and 408,741.60

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Solution

The fourth proportional to 470,949.60, 705,387.60 and 408,741.60 is: 612,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,949.60 : 705,387.60 = 408,741.60 : x
  2. Step 2: Convert to fraction form
    470,949.60/705,387.60 = 408,741.60/x
  3. Step 3: Cross multiply
    470,949.60x = 705,387.60 × 408,741.60
  4. Step 4: Simplify right side
    470,949.60x = 288,321,256,244.16
  5. Step 5: Solve for x
    x = 288,321,256,244.16/470,949.60
  6. Step 6: Final answer
    x = 612,212.55

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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.