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Finding the Fourth Proportional to 397,597.10, 596,191.35 and 117,077.90

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Solution

The fourth proportional to 397,597.10, 596,191.35 and 117,077.90 is: 175,556.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,597.10 : 596,191.35 = 117,077.90 : x
  2. Step 2: Convert to fraction form
    397,597.10/596,191.35 = 117,077.90/x
  3. Step 3: Cross multiply
    397,597.10x = 596,191.35 × 117,077.90
  4. Step 4: Simplify right side
    397,597.10x = 69,800,831,256.17
  5. Step 5: Solve for x
    x = 69,800,831,256.17/397,597.10
  6. Step 6: Final answer
    x = 175,556.69

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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.