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Finding the Fourth Proportional to 778,394.72, 1,074,184.08 and 420,698.72

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Solution

The fourth proportional to 778,394.72, 1,074,184.08 and 420,698.72 is: 580,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,394.72 : 1,074,184.08 = 420,698.72 : x
  2. Step 2: Convert to fraction form
    778,394.72/1,074,184.08 = 420,698.72/x
  3. Step 3: Cross multiply
    778,394.72x = 1,074,184.08 × 420,698.72
  4. Step 4: Simplify right side
    778,394.72x = 451,907,867,500.38
  5. Step 5: Solve for x
    x = 451,907,867,500.38/778,394.72
  6. Step 6: Final answer
    x = 580,563.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.