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Finding the Fourth Proportional to 397,626.19, 596,494.67 and 127,762.45

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Solution

The fourth proportional to 397,626.19, 596,494.67 and 127,762.45 is: 191,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,626.19 : 596,494.67 = 127,762.45 : x
  2. Step 2: Convert to fraction form
    397,626.19/596,494.67 = 127,762.45/x
  3. Step 3: Cross multiply
    397,626.19x = 596,494.67 × 127,762.45
  4. Step 4: Simplify right side
    397,626.19x = 76,209,620,451.14
  5. Step 5: Solve for x
    x = 76,209,620,451.14/397,626.19
  6. Step 6: Final answer
    x = 191,661.47

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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.