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Finding the Fourth Proportional to 413,541.40, 620,420.10 and 133,065.40

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Solution

The fourth proportional to 413,541.40, 620,420.10 and 133,065.40 is: 199,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,541.40 : 620,420.10 = 133,065.40 : x
  2. Step 2: Convert to fraction form
    413,541.40/620,420.10 = 133,065.40/x
  3. Step 3: Cross multiply
    413,541.40x = 620,420.10 × 133,065.40
  4. Step 4: Simplify right side
    413,541.40x = 82,556,448,774.54
  5. Step 5: Solve for x
    x = 82,556,448,774.54/413,541.40
  6. Step 6: Final answer
    x = 199,632.85

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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.