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Finding the Fourth Proportional to 463,211.12, 633,394.36 and 463,211.12

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Solution

The fourth proportional to 463,211.12, 633,394.36 and 463,211.12 is: 633,394.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,211.12 : 633,394.36 = 463,211.12 : x
  2. Step 2: Convert to fraction form
    463,211.12/633,394.36 = 463,211.12/x
  3. Step 3: Cross multiply
    463,211.12x = 633,394.36 × 463,211.12
  4. Step 4: Simplify right side
    463,211.12x = 293,395,310,897.28
  5. Step 5: Solve for x
    x = 293,395,310,897.28/463,211.12
  6. Step 6: Final answer
    x = 633,394.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.