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Finding the Fourth Proportional to 512,231.41, 706,222.18 and 420,010.90

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Solution

The fourth proportional to 512,231.41, 706,222.18 and 420,010.90 is: 579,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,231.41 : 706,222.18 = 420,010.90 : x
  2. Step 2: Convert to fraction form
    512,231.41/706,222.18 = 420,010.90/x
  3. Step 3: Cross multiply
    512,231.41x = 706,222.18 × 420,010.90
  4. Step 4: Simplify right side
    512,231.41x = 296,621,013,421.76
  5. Step 5: Solve for x
    x = 296,621,013,421.76/512,231.41
  6. Step 6: Final answer
    x = 579,076.19

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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.