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Finding the Fourth Proportional to 397,359.60, 595,834.20 and 116,840.40

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Solution

The fourth proportional to 397,359.60, 595,834.20 and 116,840.40 is: 175,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,359.60 : 595,834.20 = 116,840.40 : x
  2. Step 2: Convert to fraction form
    397,359.60/595,834.20 = 116,840.40/x
  3. Step 3: Cross multiply
    397,359.60x = 595,834.20 × 116,840.40
  4. Step 4: Simplify right side
    397,359.60x = 69,617,506,261.68
  5. Step 5: Solve for x
    x = 69,617,506,261.68/397,359.60
  6. Step 6: Final answer
    x = 175,200.26

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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.