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Finding the Fourth Proportional to 414,530.02, 621,798.81 and 134,047.54

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Solution

The fourth proportional to 414,530.02, 621,798.81 and 134,047.54 is: 201,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,530.02 : 621,798.81 = 134,047.54 : x
  2. Step 2: Convert to fraction form
    414,530.02/621,798.81 = 134,047.54/x
  3. Step 3: Cross multiply
    414,530.02x = 621,798.81 × 134,047.54
  4. Step 4: Simplify right side
    414,530.02x = 83,350,600,855.43
  5. Step 5: Solve for x
    x = 83,350,600,855.43/414,530.02
  6. Step 6: Final answer
    x = 201,072.53

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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.