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Finding the Fourth Proportional to 397,041.65, 595,434.50 and 130,738.76

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Solution

The fourth proportional to 397,041.65, 595,434.50 and 130,738.76 is: 196,066.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,041.65 : 595,434.50 = 130,738.76 : x
  2. Step 2: Convert to fraction form
    397,041.65/595,434.50 = 130,738.76/x
  3. Step 3: Cross multiply
    397,041.65x = 595,434.50 × 130,738.76
  4. Step 4: Simplify right side
    397,041.65x = 77,846,367,537.53
  5. Step 5: Solve for x
    x = 77,846,367,537.53/397,041.65
  6. Step 6: Final answer
    x = 196,066.00

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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.