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Finding the Fourth Proportional to 432,128.05, 596,146.84 and 412,117.00

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Solution

The fourth proportional to 432,128.05, 596,146.84 and 412,117.00 is: 568,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,128.05 : 596,146.84 = 412,117.00 : x
  2. Step 2: Convert to fraction form
    432,128.05/596,146.84 = 412,117.00/x
  3. Step 3: Cross multiply
    432,128.05x = 596,146.84 × 412,117.00
  4. Step 4: Simplify right side
    432,128.05x = 245,682,244,739.62
  5. Step 5: Solve for x
    x = 245,682,244,739.62/432,128.05
  6. Step 6: Final answer
    x = 568,540.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.