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Finding the Fourth Proportional to 397,585.60, 596,205.60 and 117,044.80

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Solution

The fourth proportional to 397,585.60, 596,205.60 and 117,044.80 is: 175,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,585.60 : 596,205.60 = 117,044.80 : x
  2. Step 2: Convert to fraction form
    397,585.60/596,205.60 = 117,044.80/x
  3. Step 3: Cross multiply
    397,585.60x = 596,205.60 × 117,044.80
  4. Step 4: Simplify right side
    397,585.60x = 69,782,765,210.88
  5. Step 5: Solve for x
    x = 69,782,765,210.88/397,585.60
  6. Step 6: Final answer
    x = 175,516.33

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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.