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Finding the Fourth Proportional to 414,944.80, 621,034.80 and 365,178.40

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Solution

The fourth proportional to 414,944.80, 621,034.80 and 365,178.40 is: 546,551.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,944.80 : 621,034.80 = 365,178.40 : x
  2. Step 2: Convert to fraction form
    414,944.80/621,034.80 = 365,178.40/x
  3. Step 3: Cross multiply
    414,944.80x = 621,034.80 × 365,178.40
  4. Step 4: Simplify right side
    414,944.80x = 226,788,494,608.32
  5. Step 5: Solve for x
    x = 226,788,494,608.32/414,944.80
  6. Step 6: Final answer
    x = 546,551.00

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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.