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Finding the Fourth Proportional to 397,598.10, 596,192.84 and 117,078.90

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Solution

The fourth proportional to 397,598.10, 596,192.84 and 117,078.90 is: 175,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,598.10 : 596,192.84 = 117,078.90 : x
  2. Step 2: Convert to fraction form
    397,598.10/596,192.84 = 117,078.90/x
  3. Step 3: Cross multiply
    397,598.10x = 596,192.84 × 117,078.90
  4. Step 4: Simplify right side
    397,598.10x = 69,801,601,895.08
  5. Step 5: Solve for x
    x = 69,801,601,895.08/397,598.10
  6. Step 6: Final answer
    x = 175,558.19

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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.