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Finding the Fourth Proportional to 397,708.77, 596,564.37 and 98,189.40

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Solution

The fourth proportional to 397,708.77, 596,564.37 and 98,189.40 is: 147,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,708.77 : 596,564.37 = 98,189.40 : x
  2. Step 2: Convert to fraction form
    397,708.77/596,564.37 = 98,189.40/x
  3. Step 3: Cross multiply
    397,708.77x = 596,564.37 × 98,189.40
  4. Step 4: Simplify right side
    397,708.77x = 58,576,297,551.68
  5. Step 5: Solve for x
    x = 58,576,297,551.68/397,708.77
  6. Step 6: Final answer
    x = 147,284.40

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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.