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Finding the Fourth Proportional to 414,907.80, 620,979.30 and 365,141.40

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Solution

The fourth proportional to 414,907.80, 620,979.30 and 365,141.40 is: 546,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,907.80 : 620,979.30 = 365,141.40 : x
  2. Step 2: Convert to fraction form
    414,907.80/620,979.30 = 365,141.40/x
  3. Step 3: Cross multiply
    414,907.80x = 620,979.30 × 365,141.40
  4. Step 4: Simplify right side
    414,907.80x = 226,745,250,973.02
  5. Step 5: Solve for x
    x = 226,745,250,973.02/414,907.80
  6. Step 6: Final answer
    x = 546,495.51

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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.