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Finding the Fourth Proportional to 307,591.70, 461,452.35 and 130,007.30

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Solution

The fourth proportional to 307,591.70, 461,452.35 and 130,007.30 is: 195,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,591.70 : 461,452.35 = 130,007.30 : x
  2. Step 2: Convert to fraction form
    307,591.70/461,452.35 = 130,007.30/x
  3. Step 3: Cross multiply
    307,591.70x = 461,452.35 × 130,007.30
  4. Step 4: Simplify right side
    307,591.70x = 59,992,174,102.16
  5. Step 5: Solve for x
    x = 59,992,174,102.16/307,591.70
  6. Step 6: Final answer
    x = 195,038.34

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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.