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Finding the Fourth Proportional to 414,064.80, 621,097.20 and 362,743.20

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Solution

The fourth proportional to 414,064.80, 621,097.20 and 362,743.20 is: 544,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,064.80 : 621,097.20 = 362,743.20 : x
  2. Step 2: Convert to fraction form
    414,064.80/621,097.20 = 362,743.20/x
  3. Step 3: Cross multiply
    414,064.80x = 621,097.20 × 362,743.20
  4. Step 4: Simplify right side
    414,064.80x = 225,298,785,839.04
  5. Step 5: Solve for x
    x = 225,298,785,839.04/414,064.80
  6. Step 6: Final answer
    x = 544,114.80

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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.