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Finding the Fourth Proportional to 414,543.60, 621,815.40 and 148,312.80

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Solution

The fourth proportional to 414,543.60, 621,815.40 and 148,312.80 is: 222,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,543.60 : 621,815.40 = 148,312.80 : x
  2. Step 2: Convert to fraction form
    414,543.60/621,815.40 = 148,312.80/x
  3. Step 3: Cross multiply
    414,543.60x = 621,815.40 × 148,312.80
  4. Step 4: Simplify right side
    414,543.60x = 92,223,183,057.12
  5. Step 5: Solve for x
    x = 92,223,183,057.12/414,543.60
  6. Step 6: Final answer
    x = 222,469.20

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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.