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Finding the Fourth Proportional to 464,743.20, 697,114.80 and 414,004.80

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Solution

The fourth proportional to 464,743.20, 697,114.80 and 414,004.80 is: 621,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,743.20 : 697,114.80 = 414,004.80 : x
  2. Step 2: Convert to fraction form
    464,743.20/697,114.80 = 414,004.80/x
  3. Step 3: Cross multiply
    464,743.20x = 697,114.80 × 414,004.80
  4. Step 4: Simplify right side
    464,743.20x = 288,608,873,351.04
  5. Step 5: Solve for x
    x = 288,608,873,351.04/464,743.20
  6. Step 6: Final answer
    x = 621,007.20

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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.